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Finding the Fourth Proportional to 11,708.92, 17,542.11 and 6,768.12

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Solution

The fourth proportional to 11,708.92, 17,542.11 and 6,768.12 is: 10,139.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,708.92 : 17,542.11 = 6,768.12 : x
  2. Step 2: Convert to fraction form
    11,708.92/17,542.11 = 6,768.12/x
  3. Step 3: Cross multiply
    11,708.92x = 17,542.11 × 6,768.12
  4. Step 4: Simplify right side
    11,708.92x = 118,727,105.53
  5. Step 5: Solve for x
    x = 118,727,105.53/11,708.92
  6. Step 6: Final answer
    x = 10,139.89

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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.