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Finding the Fourth Proportional to 11,522.80, 15,901.76 and 6,487.20

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Solution

The fourth proportional to 11,522.80, 15,901.76 and 6,487.20 is: 8,952.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,522.80 : 15,901.76 = 6,487.20 : x
  2. Step 2: Convert to fraction form
    11,522.80/15,901.76 = 6,487.20/x
  3. Step 3: Cross multiply
    11,522.80x = 15,901.76 × 6,487.20
  4. Step 4: Simplify right side
    11,522.80x = 103,157,897.47
  5. Step 5: Solve for x
    x = 103,157,897.47/11,522.80
  6. Step 6: Final answer
    x = 8,952.50

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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.