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Finding the Fourth Proportional to 8,185.50, 12,278.66 and 2,638.44

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Solution

The fourth proportional to 8,185.50, 12,278.66 and 2,638.44 is: 3,957.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.50 : 12,278.66 = 2,638.44 : x
  2. Step 2: Convert to fraction form
    8,185.50/12,278.66 = 2,638.44/x
  3. Step 3: Cross multiply
    8,185.50x = 12,278.66 × 2,638.44
  4. Step 4: Simplify right side
    8,185.50x = 32,396,494.50
  5. Step 5: Solve for x
    x = 32,396,494.50/8,185.50
  6. Step 6: Final answer
    x = 3,957.79

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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.