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Finding the Fourth Proportional to 10,258.50, 15,387.72 and 7,921.92

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Solution

The fourth proportional to 10,258.50, 15,387.72 and 7,921.92 is: 11,882.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.50 : 15,387.72 = 7,921.92 : x
  2. Step 2: Convert to fraction form
    10,258.50/15,387.72 = 7,921.92/x
  3. Step 3: Cross multiply
    10,258.50x = 15,387.72 × 7,921.92
  4. Step 4: Simplify right side
    10,258.50x = 121,900,286.82
  5. Step 5: Solve for x
    x = 121,900,286.82/10,258.50
  6. Step 6: Final answer
    x = 11,882.86

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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.