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Finding the Fourth Proportional to 11,693.12, 17,542.52 and 3,902.52

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Solution

The fourth proportional to 11,693.12, 17,542.52 and 3,902.52 is: 5,854.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,693.12 : 17,542.52 = 3,902.52 : x
  2. Step 2: Convert to fraction form
    11,693.12/17,542.52 = 3,902.52/x
  3. Step 3: Cross multiply
    11,693.12x = 17,542.52 × 3,902.52
  4. Step 4: Simplify right side
    11,693.12x = 68,460,035.15
  5. Step 5: Solve for x
    x = 68,460,035.15/11,693.12
  6. Step 6: Final answer
    x = 5,854.73

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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.