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Finding the Fourth Proportional to 10,227.98, 15,342.11 and 3,654.56

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Solution

The fourth proportional to 10,227.98, 15,342.11 and 3,654.56 is: 5,481.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,227.98 : 15,342.11 = 3,654.56 : x
  2. Step 2: Convert to fraction form
    10,227.98/15,342.11 = 3,654.56/x
  3. Step 3: Cross multiply
    10,227.98x = 15,342.11 × 3,654.56
  4. Step 4: Simplify right side
    10,227.98x = 56,068,661.52
  5. Step 5: Solve for x
    x = 56,068,661.52/10,227.98
  6. Step 6: Final answer
    x = 5,481.89

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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.