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Finding the Fourth Proportional to 10,691.49, 16,039.85 and 7,535.09

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Solution

The fourth proportional to 10,691.49, 16,039.85 and 7,535.09 is: 11,304.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.49 : 16,039.85 = 7,535.09 : x
  2. Step 2: Convert to fraction form
    10,691.49/16,039.85 = 7,535.09/x
  3. Step 3: Cross multiply
    10,691.49x = 16,039.85 × 7,535.09
  4. Step 4: Simplify right side
    10,691.49x = 120,861,713.34
  5. Step 5: Solve for x
    x = 120,861,713.34/10,691.49
  6. Step 6: Final answer
    x = 11,304.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.