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Finding the Fourth Proportional to 7,729.68, 10,659.66 and 5,212.20

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Solution

The fourth proportional to 7,729.68, 10,659.66 and 5,212.20 is: 7,187.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.68 : 10,659.66 = 5,212.20 : x
  2. Step 2: Convert to fraction form
    7,729.68/10,659.66 = 5,212.20/x
  3. Step 3: Cross multiply
    7,729.68x = 10,659.66 × 5,212.20
  4. Step 4: Simplify right side
    7,729.68x = 55,560,279.85
  5. Step 5: Solve for x
    x = 55,560,279.85/7,729.68
  6. Step 6: Final answer
    x = 7,187.91

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