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Finding the Fourth Proportional to 6,781.73, 10,182.81 and 5,537.87

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Solution

The fourth proportional to 6,781.73, 10,182.81 and 5,537.87 is: 8,315.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.73 : 10,182.81 = 5,537.87 : x
  2. Step 2: Convert to fraction form
    6,781.73/10,182.81 = 5,537.87/x
  3. Step 3: Cross multiply
    6,781.73x = 10,182.81 × 5,537.87
  4. Step 4: Simplify right side
    6,781.73x = 56,391,086.05
  5. Step 5: Solve for x
    x = 56,391,086.05/6,781.73
  6. Step 6: Final answer
    x = 8,315.15

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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.