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Finding the Fourth Proportional to 8,170.98, 12,255.06 and 2,167.10

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Solution

The fourth proportional to 8,170.98, 12,255.06 and 2,167.10 is: 3,250.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170.98 : 12,255.06 = 2,167.10 : x
  2. Step 2: Convert to fraction form
    8,170.98/12,255.06 = 2,167.10/x
  3. Step 3: Cross multiply
    8,170.98x = 12,255.06 × 2,167.10
  4. Step 4: Simplify right side
    8,170.98x = 26,557,940.53
  5. Step 5: Solve for x
    x = 26,557,940.53/8,170.98
  6. Step 6: Final answer
    x = 3,250.28

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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.