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Finding the Fourth Proportional to 8,252.38, 12,379.11 and 2,408.50

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Solution

The fourth proportional to 8,252.38, 12,379.11 and 2,408.50 is: 3,612.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,252.38 : 12,379.11 = 2,408.50 : x
  2. Step 2: Convert to fraction form
    8,252.38/12,379.11 = 2,408.50/x
  3. Step 3: Cross multiply
    8,252.38x = 12,379.11 × 2,408.50
  4. Step 4: Simplify right side
    8,252.38x = 29,815,086.44
  5. Step 5: Solve for x
    x = 29,815,086.44/8,252.38
  6. Step 6: Final answer
    x = 3,612.91

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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.