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Finding the Fourth Proportional to 8,377.86, 12,562.47 and 3,446.58

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Solution

The fourth proportional to 8,377.86, 12,562.47 and 3,446.58 is: 5,168.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,377.86 : 12,562.47 = 3,446.58 : x
  2. Step 2: Convert to fraction form
    8,377.86/12,562.47 = 3,446.58/x
  3. Step 3: Cross multiply
    8,377.86x = 12,562.47 × 3,446.58
  4. Step 4: Simplify right side
    8,377.86x = 43,297,557.85
  5. Step 5: Solve for x
    x = 43,297,557.85/8,377.86
  6. Step 6: Final answer
    x = 5,168.09

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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.