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Finding the Fourth Proportional to 8,293.96, 12,436.64 and 2,449.80

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Solution

The fourth proportional to 8,293.96, 12,436.64 and 2,449.80 is: 3,673.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,293.96 : 12,436.64 = 2,449.80 : x
  2. Step 2: Convert to fraction form
    8,293.96/12,436.64 = 2,449.80/x
  3. Step 3: Cross multiply
    8,293.96x = 12,436.64 × 2,449.80
  4. Step 4: Simplify right side
    8,293.96x = 30,467,280.67
  5. Step 5: Solve for x
    x = 30,467,280.67/8,293.96
  6. Step 6: Final answer
    x = 3,673.43

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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.