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Finding the Fourth Proportional to 10,034.92, 15,053.36 and 5,101.48

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Solution

The fourth proportional to 10,034.92, 15,053.36 and 5,101.48 is: 7,652.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.92 : 15,053.36 = 5,101.48 : x
  2. Step 2: Convert to fraction form
    10,034.92/15,053.36 = 5,101.48/x
  3. Step 3: Cross multiply
    10,034.92x = 15,053.36 × 5,101.48
  4. Step 4: Simplify right side
    10,034.92x = 76,794,414.97
  5. Step 5: Solve for x
    x = 76,794,414.97/10,034.92
  6. Step 6: Final answer
    x = 7,652.72

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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.