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Finding the Fourth Proportional to 7,734.96, 10,674.24 and 4,198.20

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Solution

The fourth proportional to 7,734.96, 10,674.24 and 4,198.20 is: 5,793.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.96 : 10,674.24 = 4,198.20 : x
  2. Step 2: Convert to fraction form
    7,734.96/10,674.24 = 4,198.20/x
  3. Step 3: Cross multiply
    7,734.96x = 10,674.24 × 4,198.20
  4. Step 4: Simplify right side
    7,734.96x = 44,812,594.37
  5. Step 5: Solve for x
    x = 44,812,594.37/7,734.96
  6. Step 6: Final answer
    x = 5,793.51

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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.