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Finding the Fourth Proportional to 10,592.22, 15,892.52 and 4,020.15

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Solution

The fourth proportional to 10,592.22, 15,892.52 and 4,020.15 is: 6,031.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,592.22 : 15,892.52 = 4,020.15 : x
  2. Step 2: Convert to fraction form
    10,592.22/15,892.52 = 4,020.15/x
  3. Step 3: Cross multiply
    10,592.22x = 15,892.52 × 4,020.15
  4. Step 4: Simplify right side
    10,592.22x = 63,890,314.28
  5. Step 5: Solve for x
    x = 63,890,314.28/10,592.22
  6. Step 6: Final answer
    x = 6,031.82

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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.