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Finding the Fourth Proportional to 8,115.50, 12,164.52 and 3,434.42

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Solution

The fourth proportional to 8,115.50, 12,164.52 and 3,434.42 is: 5,147.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,115.50 : 12,164.52 = 3,434.42 : x
  2. Step 2: Convert to fraction form
    8,115.50/12,164.52 = 3,434.42/x
  3. Step 3: Cross multiply
    8,115.50x = 12,164.52 × 3,434.42
  4. Step 4: Simplify right side
    8,115.50x = 41,778,070.78
  5. Step 5: Solve for x
    x = 41,778,070.78/8,115.50
  6. Step 6: Final answer
    x = 5,147.94

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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.