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Finding the Fourth Proportional to 11,542.89, 17,300.33 and 5,294.22

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Solution

The fourth proportional to 11,542.89, 17,300.33 and 5,294.22 is: 7,934.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.89 : 17,300.33 = 5,294.22 : x
  2. Step 2: Convert to fraction form
    11,542.89/17,300.33 = 5,294.22/x
  3. Step 3: Cross multiply
    11,542.89x = 17,300.33 × 5,294.22
  4. Step 4: Simplify right side
    11,542.89x = 91,591,753.09
  5. Step 5: Solve for x
    x = 91,591,753.09/11,542.89
  6. Step 6: Final answer
    x = 7,934.91

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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.