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Finding the Fourth Proportional to 8,122.27, 12,184.20 and 3,377.44

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Solution

The fourth proportional to 8,122.27, 12,184.20 and 3,377.44 is: 5,066.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.27 : 12,184.20 = 3,377.44 : x
  2. Step 2: Convert to fraction form
    8,122.27/12,184.20 = 3,377.44/x
  3. Step 3: Cross multiply
    8,122.27x = 12,184.20 × 3,377.44
  4. Step 4: Simplify right side
    8,122.27x = 41,151,404.45
  5. Step 5: Solve for x
    x = 41,151,404.45/8,122.27
  6. Step 6: Final answer
    x = 5,066.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.