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Finding the Fourth Proportional to 8,067.14, 12,102.42 and 2,873

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Solution

The fourth proportional to 8,067.14, 12,102.42 and 2,873 is: 4,310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,067.14 : 12,102.42 = 2,873 : x
  2. Step 2: Convert to fraction form
    8,067.14/12,102.42 = 2,873/x
  3. Step 3: Cross multiply
    8,067.14x = 12,102.42 × 2,873
  4. Step 4: Simplify right side
    8,067.14x = 34,770,252.66
  5. Step 5: Solve for x
    x = 34,770,252.66/8,067.14
  6. Step 6: Final answer
    x = 4,310.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.