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Finding the Fourth Proportional to 10,497.48, 14,472 and 7,508.10

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Solution

The fourth proportional to 10,497.48, 14,472 and 7,508.10 is: 10,350.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.48 : 14,472 = 7,508.10 : x
  2. Step 2: Convert to fraction form
    10,497.48/14,472 = 7,508.10/x
  3. Step 3: Cross multiply
    10,497.48x = 14,472 × 7,508.10
  4. Step 4: Simplify right side
    10,497.48x = 108,657,223.20
  5. Step 5: Solve for x
    x = 108,657,223.20/10,497.48
  6. Step 6: Final answer
    x = 10,350.79

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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.