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Finding the Fourth Proportional to 10,258.43, 15,387.65 and 7,921.85

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Solution

The fourth proportional to 10,258.43, 15,387.65 and 7,921.85 is: 11,882.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.43 : 15,387.65 = 7,921.85 : x
  2. Step 2: Convert to fraction form
    10,258.43/15,387.65 = 7,921.85/x
  3. Step 3: Cross multiply
    10,258.43x = 15,387.65 × 7,921.85
  4. Step 4: Simplify right side
    10,258.43x = 121,898,589.31
  5. Step 5: Solve for x
    x = 121,898,589.31/10,258.43
  6. Step 6: Final answer
    x = 11,882.77

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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.