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Finding the Fourth Proportional to 8,194.80, 11,311.80 and 5,550.96

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Solution

The fourth proportional to 8,194.80, 11,311.80 and 5,550.96 is: 7,662.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.80 : 11,311.80 = 5,550.96 : x
  2. Step 2: Convert to fraction form
    8,194.80/11,311.80 = 5,550.96/x
  3. Step 3: Cross multiply
    8,194.80x = 11,311.80 × 5,550.96
  4. Step 4: Simplify right side
    8,194.80x = 62,791,349.33
  5. Step 5: Solve for x
    x = 62,791,349.33/8,194.80
  6. Step 6: Final answer
    x = 7,662.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.