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Finding the Fourth Proportional to 8,494.54, 12,743.42 and 3,814.44

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Solution

The fourth proportional to 8,494.54, 12,743.42 and 3,814.44 is: 5,722.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.54 : 12,743.42 = 3,814.44 : x
  2. Step 2: Convert to fraction form
    8,494.54/12,743.42 = 3,814.44/x
  3. Step 3: Cross multiply
    8,494.54x = 12,743.42 × 3,814.44
  4. Step 4: Simplify right side
    8,494.54x = 48,608,991.91
  5. Step 5: Solve for x
    x = 48,608,991.91/8,494.54
  6. Step 6: Final answer
    x = 5,722.38

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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.