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Finding the Fourth Proportional to 10,049.47, 15,072.92 and 2,654.48

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Solution

The fourth proportional to 10,049.47, 15,072.92 and 2,654.48 is: 3,981.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.47 : 15,072.92 = 2,654.48 : x
  2. Step 2: Convert to fraction form
    10,049.47/15,072.92 = 2,654.48/x
  3. Step 3: Cross multiply
    10,049.47x = 15,072.92 × 2,654.48
  4. Step 4: Simplify right side
    10,049.47x = 40,010,799.05
  5. Step 5: Solve for x
    x = 40,010,799.05/10,049.47
  6. Step 6: Final answer
    x = 3,981.38

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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.