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Finding the Fourth Proportional to 8,138.74, 12,200.82 and 3,752.60

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Solution

The fourth proportional to 8,138.74, 12,200.82 and 3,752.60 is: 5,625.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.74 : 12,200.82 = 3,752.60 : x
  2. Step 2: Convert to fraction form
    8,138.74/12,200.82 = 3,752.60/x
  3. Step 3: Cross multiply
    8,138.74x = 12,200.82 × 3,752.60
  4. Step 4: Simplify right side
    8,138.74x = 45,784,797.13
  5. Step 5: Solve for x
    x = 45,784,797.13/8,138.74
  6. Step 6: Final answer
    x = 5,625.54

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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.