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Finding the Fourth Proportional to 7,863.52, 10,781.33 and 7,723.12

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Solution

The fourth proportional to 7,863.52, 10,781.33 and 7,723.12 is: 10,588.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,863.52 : 10,781.33 = 7,723.12 : x
  2. Step 2: Convert to fraction form
    7,863.52/10,781.33 = 7,723.12/x
  3. Step 3: Cross multiply
    7,863.52x = 10,781.33 × 7,723.12
  4. Step 4: Simplify right side
    7,863.52x = 83,265,505.35
  5. Step 5: Solve for x
    x = 83,265,505.35/7,863.52
  6. Step 6: Final answer
    x = 10,588.83

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.