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Finding the Fourth Proportional to 8,106.20, 12,149.70 and 3,426.20

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Solution

The fourth proportional to 8,106.20, 12,149.70 and 3,426.20 is: 5,135.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,106.20 : 12,149.70 = 3,426.20 : x
  2. Step 2: Convert to fraction form
    8,106.20/12,149.70 = 3,426.20/x
  3. Step 3: Cross multiply
    8,106.20x = 12,149.70 × 3,426.20
  4. Step 4: Simplify right side
    8,106.20x = 41,627,302.14
  5. Step 5: Solve for x
    x = 41,627,302.14/8,106.20
  6. Step 6: Final answer
    x = 5,135.24

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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.