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Finding the Fourth Proportional to 10,442.78, 15,654.57 and 4,515.96

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Solution

The fourth proportional to 10,442.78, 15,654.57 and 4,515.96 is: 6,769.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.78 : 15,654.57 = 4,515.96 : x
  2. Step 2: Convert to fraction form
    10,442.78/15,654.57 = 4,515.96/x
  3. Step 3: Cross multiply
    10,442.78x = 15,654.57 × 4,515.96
  4. Step 4: Simplify right side
    10,442.78x = 70,695,411.94
  5. Step 5: Solve for x
    x = 70,695,411.94/10,442.78
  6. Step 6: Final answer
    x = 6,769.79

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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.