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Finding the Fourth Proportional to 8,842.68, 12,205.44 and 5,067.90

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Solution

The fourth proportional to 8,842.68, 12,205.44 and 5,067.90 is: 6,995.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,842.68 : 12,205.44 = 5,067.90 : x
  2. Step 2: Convert to fraction form
    8,842.68/12,205.44 = 5,067.90/x
  3. Step 3: Cross multiply
    8,842.68x = 12,205.44 × 5,067.90
  4. Step 4: Simplify right side
    8,842.68x = 61,855,949.38
  5. Step 5: Solve for x
    x = 61,855,949.38/8,842.68
  6. Step 6: Final answer
    x = 6,995.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.