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Finding the Fourth Proportional to 8,107.75, 12,164.66 and 2,843.15

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Solution

The fourth proportional to 8,107.75, 12,164.66 and 2,843.15 is: 4,265.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,107.75 : 12,164.66 = 2,843.15 : x
  2. Step 2: Convert to fraction form
    8,107.75/12,164.66 = 2,843.15/x
  3. Step 3: Cross multiply
    8,107.75x = 12,164.66 × 2,843.15
  4. Step 4: Simplify right side
    8,107.75x = 34,585,938.86
  5. Step 5: Solve for x
    x = 34,585,938.86/8,107.75
  6. Step 6: Final answer
    x = 4,265.79

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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.