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Finding the Fourth Proportional to 11,552.44, 17,306.90 and 5,702.20

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Solution

The fourth proportional to 11,552.44, 17,306.90 and 5,702.20 is: 8,542.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,552.44 : 17,306.90 = 5,702.20 : x
  2. Step 2: Convert to fraction form
    11,552.44/17,306.90 = 5,702.20/x
  3. Step 3: Cross multiply
    11,552.44x = 17,306.90 × 5,702.20
  4. Step 4: Simplify right side
    11,552.44x = 98,687,405.18
  5. Step 5: Solve for x
    x = 98,687,405.18/11,552.44
  6. Step 6: Final answer
    x = 8,542.56

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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.