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Finding the Fourth Proportional to 8,494.44, 12,743.88 and 2,650.80

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Solution

The fourth proportional to 8,494.44, 12,743.88 and 2,650.80 is: 3,976.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.44 : 12,743.88 = 2,650.80 : x
  2. Step 2: Convert to fraction form
    8,494.44/12,743.88 = 2,650.80/x
  3. Step 3: Cross multiply
    8,494.44x = 12,743.88 × 2,650.80
  4. Step 4: Simplify right side
    8,494.44x = 33,781,477.10
  5. Step 5: Solve for x
    x = 33,781,477.10/8,494.44
  6. Step 6: Final answer
    x = 3,976.89

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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.