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Finding the Fourth Proportional to 8,077.50, 12,107.52 and 3,396.42

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Solution

The fourth proportional to 8,077.50, 12,107.52 and 3,396.42 is: 5,090.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.50 : 12,107.52 = 3,396.42 : x
  2. Step 2: Convert to fraction form
    8,077.50/12,107.52 = 3,396.42/x
  3. Step 3: Cross multiply
    8,077.50x = 12,107.52 × 3,396.42
  4. Step 4: Simplify right side
    8,077.50x = 41,122,223.08
  5. Step 5: Solve for x
    x = 41,122,223.08/8,077.50
  6. Step 6: Final answer
    x = 5,090.96

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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.