\[\boxed{\mathbf{4.}\mathbf{66}}\]
\[\textbf{а)}\ | - 10| \cdot | - 35| = 10 \cdot 35 = 350\]
\[\textbf{б)}\ |360|\ :| - 90| = 360\ :90 = 4\]
\[\textbf{в)}\ |65,72|\ :| - 5,3| =\]
\[= 65,72\ :5,3 = 6572\ :530 =\]
\[= 12,4\]
\[\textbf{г)}\ |0,01| \cdot | - 100| = 0,01 \cdot 100 =\]
\[= 1\]
\[\textbf{д)}\ \left| - 2\frac{1}{5} \right| \cdot \left| \frac{15}{22} \right| = 2\frac{1}{5} \cdot \frac{15}{22} =\]
\[= \frac{11}{5} \cdot \frac{15}{22} = \frac{3}{2} = 1,5\]
\[\textbf{е)}\ \ \left| - 7\frac{1}{7} \right|\ :\left| \frac{5}{14} \right| = \frac{50}{7} \cdot \frac{14}{5} = 20\]