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Finding the Fourth Proportional to 8,314.25, 12,471.33 and 2,767.58

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Solution

The fourth proportional to 8,314.25, 12,471.33 and 2,767.58 is: 4,151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.25 : 12,471.33 = 2,767.58 : x
  2. Step 2: Convert to fraction form
    8,314.25/12,471.33 = 2,767.58/x
  3. Step 3: Cross multiply
    8,314.25x = 12,471.33 × 2,767.58
  4. Step 4: Simplify right side
    8,314.25x = 34,515,404.13
  5. Step 5: Solve for x
    x = 34,515,404.13/8,314.25
  6. Step 6: Final answer
    x = 4,151.36

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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.