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Finding the Fourth Proportional to 8,293.98, 12,436.62 and 2,449.80

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Solution

The fourth proportional to 8,293.98, 12,436.62 and 2,449.80 is: 3,673.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.98 : 12,436.62 = 2,449.80 : x
  2. Step 2: Convert to fraction form
    8,293.98/12,436.62 = 2,449.80/x
  3. Step 3: Cross multiply
    8,293.98x = 12,436.62 × 2,449.80
  4. Step 4: Simplify right side
    8,293.98x = 30,467,231.68
  5. Step 5: Solve for x
    x = 30,467,231.68/8,293.98
  6. Step 6: Final answer
    x = 3,673.42

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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.