To find the product \(-\frac{4}{7} \left(-\frac{11}{2}\right)\), you can multiply the two fractions:
\[ -\frac{4}{7} \times -\frac{11}{2} = \frac{4 \times 11}{7 \times 2} = \frac{44}{14} \]
Next, simplify \(\frac{44}{14}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
\[ \frac{44 \div 2}{14 \div 2} = \frac{22}{7} \]
So, the product \(-\frac{4}{7} \left(-\frac{11}{2}\right) = \frac{22}{7}\).
The answer is:
\(\frac{22}{7}\)