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Finding the Fourth Proportional to 8,221.78, 12,336.18 and 5,449.42

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Solution

The fourth proportional to 8,221.78, 12,336.18 and 5,449.42 is: 8,176.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.78 : 12,336.18 = 5,449.42 : x
  2. Step 2: Convert to fraction form
    8,221.78/12,336.18 = 5,449.42/x
  3. Step 3: Cross multiply
    8,221.78x = 12,336.18 × 5,449.42
  4. Step 4: Simplify right side
    8,221.78x = 67,225,026.02
  5. Step 5: Solve for x
    x = 67,225,026.02/8,221.78
  6. Step 6: Final answer
    x = 8,176.46

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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.