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Finding the Fourth Proportional to 10,112.76, 15,169.14 and 6,314.52

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Solution

The fourth proportional to 10,112.76, 15,169.14 and 6,314.52 is: 9,471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,112.76 : 15,169.14 = 6,314.52 : x
  2. Step 2: Convert to fraction form
    10,112.76/15,169.14 = 6,314.52/x
  3. Step 3: Cross multiply
    10,112.76x = 15,169.14 × 6,314.52
  4. Step 4: Simplify right side
    10,112.76x = 95,785,837.91
  5. Step 5: Solve for x
    x = 95,785,837.91/10,112.76
  6. Step 6: Final answer
    x = 9,471.78

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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.