  Transients XrB exhibit different spectral shapes during their evolution. In
luminosity-color diagrams, their X-ray behavior forms unexplained q-shaped
cycles. We proposed a framework where the innermost regions of the accretion
disk evolve as a response to variations imposed in the outer regions. These
variations lead not only to modifications of the inner disk accretion rate
$\dot m_{in}$ but also to the evolution of the transition radius $r_J$ between
two regions. The outermost region is a standard accretion disk (SAD), whereas
the innermost region is a jet-emitting disk (JED) where all the disk angular
momentum is carried away vertically by two self-confined jets. In the previous
papers of this series, it has been shown that such a configuration reproduces
the typical spectral properties of the five canonical XrB states. The aim of
this paper is now to replicate all X-ray spectra and radio emission observed
during GX 339-4 2010-2011 outburst. We use the 2T plasma code presented in
papers II and III, and design an automatic fitting procedure that gives the
parameters $(\dot m_{in},r_J)$ that best fit each X-ray spectrum. We use
RXTE/PCA X-ray data spread over 438 days, together with radio observations at 9
GHz (ATCA). We obtain the time distributions of $\dot m_{in}$ and $r_J$ that
uniquely reproduce the X-ray luminosity and the spectral shape of the whole
cycle. Using the classical self-absorbed jet synchrotron emission model, the
JED-SAD configuration reproduces also very satisfactorily the radio properties,
in particular the switch-off and -on events and the radio-X-ray correlation.
Within the JED-SAD framework, radio emission can be used to constrain the
underlying disk configuration. If this result is confirmed using other
outbursts from GX 339-4 or other X-ray binaries, then radio could be indeed
used as another means to indirectly probe disk physics.
