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Finding the Fourth Proportional to 8,120.25, 12,180.42 and 2,648.25

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Solution

The fourth proportional to 8,120.25, 12,180.42 and 2,648.25 is: 3,972.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120.25 : 12,180.42 = 2,648.25 : x
  2. Step 2: Convert to fraction form
    8,120.25/12,180.42 = 2,648.25/x
  3. Step 3: Cross multiply
    8,120.25x = 12,180.42 × 2,648.25
  4. Step 4: Simplify right side
    8,120.25x = 32,256,797.27
  5. Step 5: Solve for x
    x = 32,256,797.27/8,120.25
  6. Step 6: Final answer
    x = 3,972.39

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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.