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Finding the Fourth Proportional to 6,781.96, 10,174.77 and 6,131.33

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Solution

The fourth proportional to 6,781.96, 10,174.77 and 6,131.33 is: 9,198.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.96 : 10,174.77 = 6,131.33 : x
  2. Step 2: Convert to fraction form
    6,781.96/10,174.77 = 6,131.33/x
  3. Step 3: Cross multiply
    6,781.96x = 10,174.77 × 6,131.33
  4. Step 4: Simplify right side
    6,781.96x = 62,384,872.54
  5. Step 5: Solve for x
    x = 62,384,872.54/6,781.96
  6. Step 6: Final answer
    x = 9,198.65

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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.