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Finding the Fourth Proportional to 6,781.80, 10,165.74 and 2,396.25

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Solution

The fourth proportional to 6,781.80, 10,165.74 and 2,396.25 is: 3,591.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.80 : 10,165.74 = 2,396.25 : x
  2. Step 2: Convert to fraction form
    6,781.80/10,165.74 = 2,396.25/x
  3. Step 3: Cross multiply
    6,781.80x = 10,165.74 × 2,396.25
  4. Step 4: Simplify right side
    6,781.80x = 24,359,654.48
  5. Step 5: Solve for x
    x = 24,359,654.48/6,781.80
  6. Step 6: Final answer
    x = 3,591.92

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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.