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Finding the Fourth Proportional to 7,194.97, 10,788.77 and 3,296.03

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Solution

The fourth proportional to 7,194.97, 10,788.77 and 3,296.03 is: 4,942.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.97 : 10,788.77 = 3,296.03 : x
  2. Step 2: Convert to fraction form
    7,194.97/10,788.77 = 3,296.03/x
  3. Step 3: Cross multiply
    7,194.97x = 10,788.77 × 3,296.03
  4. Step 4: Simplify right side
    7,194.97x = 35,560,144.80
  5. Step 5: Solve for x
    x = 35,560,144.80/7,194.97
  6. Step 6: Final answer
    x = 4,942.36

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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.