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Finding the Fourth Proportional to 10,593.40, 14,614.98 and 6,344.54

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Solution

The fourth proportional to 10,593.40, 14,614.98 and 6,344.54 is: 8,753.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,593.40 : 14,614.98 = 6,344.54 : x
  2. Step 2: Convert to fraction form
    10,593.40/14,614.98 = 6,344.54/x
  3. Step 3: Cross multiply
    10,593.40x = 14,614.98 × 6,344.54
  4. Step 4: Simplify right side
    10,593.40x = 92,725,325.21
  5. Step 5: Solve for x
    x = 92,725,325.21/10,593.40
  6. Step 6: Final answer
    x = 8,753.12

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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.