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Finding the Fourth Proportional to 6,781.43, 10,162.45 and 3,813.64

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Solution

The fourth proportional to 6,781.43, 10,162.45 and 3,813.64 is: 5,715.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,781.43 : 10,162.45 = 3,813.64 : x
  2. Step 2: Convert to fraction form
    6,781.43/10,162.45 = 3,813.64/x
  3. Step 3: Cross multiply
    6,781.43x = 10,162.45 × 3,813.64
  4. Step 4: Simplify right side
    6,781.43x = 38,755,983.34
  5. Step 5: Solve for x
    x = 38,755,983.34/6,781.43
  6. Step 6: Final answer
    x = 5,715.02

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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.