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Finding the Fourth Proportional to 7,739.59, 10,689.42 and 5,217.34

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Solution

The fourth proportional to 7,739.59, 10,689.42 and 5,217.34 is: 7,205.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,739.59 : 10,689.42 = 5,217.34 : x
  2. Step 2: Convert to fraction form
    7,739.59/10,689.42 = 5,217.34/x
  3. Step 3: Cross multiply
    7,739.59x = 10,689.42 × 5,217.34
  4. Step 4: Simplify right side
    7,739.59x = 55,770,338.54
  5. Step 5: Solve for x
    x = 55,770,338.54/7,739.59
  6. Step 6: Final answer
    x = 7,205.85

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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.