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Finding the Fourth Proportional to 11,422.52, 17,134.69 and 5,419.20

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Solution

The fourth proportional to 11,422.52, 17,134.69 and 5,419.20 is: 8,129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,422.52 : 17,134.69 = 5,419.20 : x
  2. Step 2: Convert to fraction form
    11,422.52/17,134.69 = 5,419.20/x
  3. Step 3: Cross multiply
    11,422.52x = 17,134.69 × 5,419.20
  4. Step 4: Simplify right side
    11,422.52x = 92,856,372.92
  5. Step 5: Solve for x
    x = 92,856,372.92/11,422.52
  6. Step 6: Final answer
    x = 8,129.24

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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.