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Finding the Fourth Proportional to 10,304.18, 15,511.98 and 9,385.64

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Solution

The fourth proportional to 10,304.18, 15,511.98 and 9,385.64 is: 14,129.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.18 : 15,511.98 = 9,385.64 : x
  2. Step 2: Convert to fraction form
    10,304.18/15,511.98 = 9,385.64/x
  3. Step 3: Cross multiply
    10,304.18x = 15,511.98 × 9,385.64
  4. Step 4: Simplify right side
    10,304.18x = 145,589,859.97
  5. Step 5: Solve for x
    x = 145,589,859.97/10,304.18
  6. Step 6: Final answer
    x = 14,129.20

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.