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Finding the Fourth Proportional to 10,711.68, 16,035.09 and 9,724.49

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Solution

The fourth proportional to 10,711.68, 16,035.09 and 9,724.49 is: 14,557.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.68 : 16,035.09 = 9,724.49 : x
  2. Step 2: Convert to fraction form
    10,711.68/16,035.09 = 9,724.49/x
  3. Step 3: Cross multiply
    10,711.68x = 16,035.09 × 9,724.49
  4. Step 4: Simplify right side
    10,711.68x = 155,933,072.35
  5. Step 5: Solve for x
    x = 155,933,072.35/10,711.68
  6. Step 6: Final answer
    x = 14,557.29

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Why These Related Problems?

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