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Finding the Fourth Proportional to 8,068, 12,107.40 and 3,452.08

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Solution

The fourth proportional to 8,068, 12,107.40 and 3,452.08 is: 5,180.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,068 : 12,107.40 = 3,452.08 : x
  2. Step 2: Convert to fraction form
    8,068/12,107.40 = 3,452.08/x
  3. Step 3: Cross multiply
    8,068x = 12,107.40 × 3,452.08
  4. Step 4: Simplify right side
    8,068x = 41,795,713.39
  5. Step 5: Solve for x
    x = 41,795,713.39/8,068
  6. Step 6: Final answer
    x = 5,180.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.