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Finding the Fourth Proportional to 8,078.20, 12,115.70 and 3,918.20

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Solution

The fourth proportional to 8,078.20, 12,115.70 and 3,918.20 is: 5,876.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.20 : 12,115.70 = 3,918.20 : x
  2. Step 2: Convert to fraction form
    8,078.20/12,115.70 = 3,918.20/x
  3. Step 3: Cross multiply
    8,078.20x = 12,115.70 × 3,918.20
  4. Step 4: Simplify right side
    8,078.20x = 47,471,735.74
  5. Step 5: Solve for x
    x = 47,471,735.74/8,078.20
  6. Step 6: Final answer
    x = 5,876.52

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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.