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Finding the Fourth Proportional to 10,654.57, 15,988.92 and 3,729.07

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Solution

The fourth proportional to 10,654.57, 15,988.92 and 3,729.07 is: 5,596.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,654.57 : 15,988.92 = 3,729.07 : x
  2. Step 2: Convert to fraction form
    10,654.57/15,988.92 = 3,729.07/x
  3. Step 3: Cross multiply
    10,654.57x = 15,988.92 × 3,729.07
  4. Step 4: Simplify right side
    10,654.57x = 59,623,801.90
  5. Step 5: Solve for x
    x = 59,623,801.90/10,654.57
  6. Step 6: Final answer
    x = 5,596.08

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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.