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Finding the Fourth Proportional to 10,422.90, 15,627.44 and 5,745.15

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Solution

The fourth proportional to 10,422.90, 15,627.44 and 5,745.15 is: 8,613.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.90 : 15,627.44 = 5,745.15 : x
  2. Step 2: Convert to fraction form
    10,422.90/15,627.44 = 5,745.15/x
  3. Step 3: Cross multiply
    10,422.90x = 15,627.44 × 5,745.15
  4. Step 4: Simplify right side
    10,422.90x = 89,781,986.92
  5. Step 5: Solve for x
    x = 89,781,986.92/10,422.90
  6. Step 6: Final answer
    x = 8,613.92

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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.