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Finding the Fourth Proportional to 10,084.86, 15,138.18 and 8,532.09

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Solution

The fourth proportional to 10,084.86, 15,138.18 and 8,532.09 is: 12,807.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,084.86 : 15,138.18 = 8,532.09 : x
  2. Step 2: Convert to fraction form
    10,084.86/15,138.18 = 8,532.09/x
  3. Step 3: Cross multiply
    10,084.86x = 15,138.18 × 8,532.09
  4. Step 4: Simplify right side
    10,084.86x = 129,160,314.20
  5. Step 5: Solve for x
    x = 129,160,314.20/10,084.86
  6. Step 6: Final answer
    x = 12,807.35

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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.