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Finding the Fourth Proportional to 10,281.12, 15,387.12 and 5,892

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Solution

The fourth proportional to 10,281.12, 15,387.12 and 5,892 is: 8,818.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,281.12 : 15,387.12 = 5,892 : x
  2. Step 2: Convert to fraction form
    10,281.12/15,387.12 = 5,892/x
  3. Step 3: Cross multiply
    10,281.12x = 15,387.12 × 5,892
  4. Step 4: Simplify right side
    10,281.12x = 90,660,911.04
  5. Step 5: Solve for x
    x = 90,660,911.04/10,281.12
  6. Step 6: Final answer
    x = 8,818.19

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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.