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Finding the Fourth Proportional to 7,734.88, 10,674.14 and 4,198.09

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Solution

The fourth proportional to 7,734.88, 10,674.14 and 4,198.09 is: 5,793.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.88 : 10,674.14 = 4,198.09 : x
  2. Step 2: Convert to fraction form
    7,734.88/10,674.14 = 4,198.09/x
  3. Step 3: Cross multiply
    7,734.88x = 10,674.14 × 4,198.09
  4. Step 4: Simplify right side
    7,734.88x = 44,810,996.35
  5. Step 5: Solve for x
    x = 44,810,996.35/7,734.88
  6. Step 6: Final answer
    x = 5,793.37

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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.