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Finding the Fourth Proportional to 6,729.88, 10,092.12 and 2,781.75

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Solution

The fourth proportional to 6,729.88, 10,092.12 and 2,781.75 is: 4,171.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729.88 : 10,092.12 = 2,781.75 : x
  2. Step 2: Convert to fraction form
    6,729.88/10,092.12 = 2,781.75/x
  3. Step 3: Cross multiply
    6,729.88x = 10,092.12 × 2,781.75
  4. Step 4: Simplify right side
    6,729.88x = 28,073,754.81
  5. Step 5: Solve for x
    x = 28,073,754.81/6,729.88
  6. Step 6: Final answer
    x = 4,171.51

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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.