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Finding the Fourth Proportional to 10,770.92, 14,861.22 and 6,577.64

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Solution

The fourth proportional to 10,770.92, 14,861.22 and 6,577.64 is: 9,075.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,770.92 : 14,861.22 = 6,577.64 : x
  2. Step 2: Convert to fraction form
    10,770.92/14,861.22 = 6,577.64/x
  3. Step 3: Cross multiply
    10,770.92x = 14,861.22 × 6,577.64
  4. Step 4: Simplify right side
    10,770.92x = 97,751,755.12
  5. Step 5: Solve for x
    x = 97,751,755.12/10,770.92
  6. Step 6: Final answer
    x = 9,075.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.