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Finding the Fourth Proportional to 10,260.12, 15,372.50 and 8,013.18

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Solution

The fourth proportional to 10,260.12, 15,372.50 and 8,013.18 is: 12,005.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,260.12 : 15,372.50 = 8,013.18 : x
  2. Step 2: Convert to fraction form
    10,260.12/15,372.50 = 8,013.18/x
  3. Step 3: Cross multiply
    10,260.12x = 15,372.50 × 8,013.18
  4. Step 4: Simplify right side
    10,260.12x = 123,182,569.48
  5. Step 5: Solve for x
    x = 123,182,569.48/10,260.12
  6. Step 6: Final answer
    x = 12,005.96

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