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Finding the Fourth Proportional to 10,254.87, 15,382.31 and 7,918.29

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Solution

The fourth proportional to 10,254.87, 15,382.31 and 7,918.29 is: 11,877.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,254.87 : 15,382.31 = 7,918.29 : x
  2. Step 2: Convert to fraction form
    10,254.87/15,382.31 = 7,918.29/x
  3. Step 3: Cross multiply
    10,254.87x = 15,382.31 × 7,918.29
  4. Step 4: Simplify right side
    10,254.87x = 121,801,551.86
  5. Step 5: Solve for x
    x = 121,801,551.86/10,254.87
  6. Step 6: Final answer
    x = 11,877.44

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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.