The museum's new statue stands on a base. The height of the base is $\displaystyle{4}\frac{{1}}{{4}}\usepackage{cmbright}\Huge\$ feet and the height of the statue is $\displaystyle{6}\frac{{7}}{{12}}\usepackage{cmbright}\Huge\$ feet. What is the total height of the statue and its base?

The answer should be written as a proper mixed number and should be simplified, if possible.