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Finding the Fourth Proportional to 8,412.39, 12,616.46 and 2,488.12

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Solution

The fourth proportional to 8,412.39, 12,616.46 and 2,488.12 is: 3,731.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,412.39 : 12,616.46 = 2,488.12 : x
  2. Step 2: Convert to fraction form
    8,412.39/12,616.46 = 2,488.12/x
  3. Step 3: Cross multiply
    8,412.39x = 12,616.46 × 2,488.12
  4. Step 4: Simplify right side
    8,412.39x = 31,391,231.80
  5. Step 5: Solve for x
    x = 31,391,231.80/8,412.39
  6. Step 6: Final answer
    x = 3,731.55

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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.