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Finding the Fourth Proportional to 10,447.48, 15,660.20 and 3,425.66

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Solution

The fourth proportional to 10,447.48, 15,660.20 and 3,425.66 is: 5,134.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,447.48 : 15,660.20 = 3,425.66 : x
  2. Step 2: Convert to fraction form
    10,447.48/15,660.20 = 3,425.66/x
  3. Step 3: Cross multiply
    10,447.48x = 15,660.20 × 3,425.66
  4. Step 4: Simplify right side
    10,447.48x = 53,646,509.72
  5. Step 5: Solve for x
    x = 53,646,509.72/10,447.48
  6. Step 6: Final answer
    x = 5,134.87

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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.