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Finding the Fourth Proportional to 7,644.92, 11,478 and 3,949.88

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Solution

The fourth proportional to 7,644.92, 11,478 and 3,949.88 is: 5,930.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.92 : 11,478 = 3,949.88 : x
  2. Step 2: Convert to fraction form
    7,644.92/11,478 = 3,949.88/x
  3. Step 3: Cross multiply
    7,644.92x = 11,478 × 3,949.88
  4. Step 4: Simplify right side
    7,644.92x = 45,336,722.64
  5. Step 5: Solve for x
    x = 45,336,722.64/7,644.92
  6. Step 6: Final answer
    x = 5,930.31

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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.