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Finding the Fourth Proportional to 8,284.74, 12,426.98 and 2,044.88

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Solution

The fourth proportional to 8,284.74, 12,426.98 and 2,044.88 is: 3,067.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,284.74 : 12,426.98 = 2,044.88 : x
  2. Step 2: Convert to fraction form
    8,284.74/12,426.98 = 2,044.88/x
  3. Step 3: Cross multiply
    8,284.74x = 12,426.98 × 2,044.88
  4. Step 4: Simplify right side
    8,284.74x = 25,411,723.91
  5. Step 5: Solve for x
    x = 25,411,723.91/8,284.74
  6. Step 6: Final answer
    x = 3,067.29

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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.