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Finding the Fourth Proportional to 10,257.90, 15,387.33 and 5,324.40

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Solution

The fourth proportional to 10,257.90, 15,387.33 and 5,324.40 is: 7,986.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,257.90 : 15,387.33 = 5,324.40 : x
  2. Step 2: Convert to fraction form
    10,257.90/15,387.33 = 5,324.40/x
  3. Step 3: Cross multiply
    10,257.90x = 15,387.33 × 5,324.40
  4. Step 4: Simplify right side
    10,257.90x = 81,928,299.85
  5. Step 5: Solve for x
    x = 81,928,299.85/10,257.90
  6. Step 6: Final answer
    x = 7,986.85

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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.