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Finding the Fourth Proportional to 8,122.34, 12,183.42 and 2,575.68

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Solution

The fourth proportional to 8,122.34, 12,183.42 and 2,575.68 is: 3,863.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.34 : 12,183.42 = 2,575.68 : x
  2. Step 2: Convert to fraction form
    8,122.34/12,183.42 = 2,575.68/x
  3. Step 3: Cross multiply
    8,122.34x = 12,183.42 × 2,575.68
  4. Step 4: Simplify right side
    8,122.34x = 31,380,591.23
  5. Step 5: Solve for x
    x = 31,380,591.23/8,122.34
  6. Step 6: Final answer
    x = 3,863.49

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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.