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Finding the Fourth Proportional to 7,659.83, 11,481.75 and 5,194.80

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Solution

The fourth proportional to 7,659.83, 11,481.75 and 5,194.80 is: 7,786.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659.83 : 11,481.75 = 5,194.80 : x
  2. Step 2: Convert to fraction form
    7,659.83/11,481.75 = 5,194.80/x
  3. Step 3: Cross multiply
    7,659.83x = 11,481.75 × 5,194.80
  4. Step 4: Simplify right side
    7,659.83x = 59,645,394.90
  5. Step 5: Solve for x
    x = 59,645,394.90/7,659.83
  6. Step 6: Final answer
    x = 7,786.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.