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Finding the Fourth Proportional to 10,891.97, 16,337.61 and 3,100.78

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Solution

The fourth proportional to 10,891.97, 16,337.61 and 3,100.78 is: 4,651.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.97 : 16,337.61 = 3,100.78 : x
  2. Step 2: Convert to fraction form
    10,891.97/16,337.61 = 3,100.78/x
  3. Step 3: Cross multiply
    10,891.97x = 16,337.61 × 3,100.78
  4. Step 4: Simplify right side
    10,891.97x = 50,659,237.14
  5. Step 5: Solve for x
    x = 50,659,237.14/10,891.97
  6. Step 6: Final answer
    x = 4,651.06

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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.