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Finding the Fourth Proportional to 6,781.27, 10,171.91 and 1,850.80

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Solution

The fourth proportional to 6,781.27, 10,171.91 and 1,850.80 is: 2,776.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.27 : 10,171.91 = 1,850.80 : x
  2. Step 2: Convert to fraction form
    6,781.27/10,171.91 = 1,850.80/x
  3. Step 3: Cross multiply
    6,781.27x = 10,171.91 × 1,850.80
  4. Step 4: Simplify right side
    6,781.27x = 18,826,161.77
  5. Step 5: Solve for x
    x = 18,826,161.77/6,781.27
  6. Step 6: Final answer
    x = 2,776.20

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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.