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Finding the Fourth Proportional to 10,248.16, 15,372.88 and 4,092

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Solution

The fourth proportional to 10,248.16, 15,372.88 and 4,092 is: 6,138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,248.16 : 15,372.88 = 4,092 : x
  2. Step 2: Convert to fraction form
    10,248.16/15,372.88 = 4,092/x
  3. Step 3: Cross multiply
    10,248.16x = 15,372.88 × 4,092
  4. Step 4: Simplify right side
    10,248.16x = 62,905,824.96
  5. Step 5: Solve for x
    x = 62,905,824.96/10,248.16
  6. Step 6: Final answer
    x = 6,138.26

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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.