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Finding the Fourth Proportional to 7,734.85, 10,674.02 and 4,198.06

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Solution

The fourth proportional to 7,734.85, 10,674.02 and 4,198.06 is: 5,793.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.85 : 10,674.02 = 4,198.06 : x
  2. Step 2: Convert to fraction form
    7,734.85/10,674.02 = 4,198.06/x
  3. Step 3: Cross multiply
    7,734.85x = 10,674.02 × 4,198.06
  4. Step 4: Simplify right side
    7,734.85x = 44,810,160.21
  5. Step 5: Solve for x
    x = 44,810,160.21/7,734.85
  6. Step 6: Final answer
    x = 5,793.28

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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.