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Finding the Fourth Proportional to 8,120.37, 12,179.34 and 3,193.41

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Solution

The fourth proportional to 8,120.37, 12,179.34 and 3,193.41 is: 4,789.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120.37 : 12,179.34 = 3,193.41 : x
  2. Step 2: Convert to fraction form
    8,120.37/12,179.34 = 3,193.41/x
  3. Step 3: Cross multiply
    8,120.37x = 12,179.34 × 3,193.41
  4. Step 4: Simplify right side
    8,120.37x = 38,893,626.15
  5. Step 5: Solve for x
    x = 38,893,626.15/8,120.37
  6. Step 6: Final answer
    x = 4,789.64

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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.