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Finding the Fourth Proportional to 7,674.46, 11,511.70 and 3,452.78

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Solution

The fourth proportional to 7,674.46, 11,511.70 and 3,452.78 is: 5,179.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.46 : 11,511.70 = 3,452.78 : x
  2. Step 2: Convert to fraction form
    7,674.46/11,511.70 = 3,452.78/x
  3. Step 3: Cross multiply
    7,674.46x = 11,511.70 × 3,452.78
  4. Step 4: Simplify right side
    7,674.46x = 39,747,402.78
  5. Step 5: Solve for x
    x = 39,747,402.78/7,674.46
  6. Step 6: Final answer
    x = 5,179.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.