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Finding the Fourth Proportional to 10,522.68, 15,781.25 and 3,125.16

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Solution

The fourth proportional to 10,522.68, 15,781.25 and 3,125.16 is: 4,686.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522.68 : 15,781.25 = 3,125.16 : x
  2. Step 2: Convert to fraction form
    10,522.68/15,781.25 = 3,125.16/x
  3. Step 3: Cross multiply
    10,522.68x = 15,781.25 × 3,125.16
  4. Step 4: Simplify right side
    10,522.68x = 49,318,915.62
  5. Step 5: Solve for x
    x = 49,318,915.62/10,522.68
  6. Step 6: Final answer
    x = 4,686.92

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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.