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Finding the Fourth Proportional to 7,768.92, 11,654.20 and 3,327.04

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Solution

The fourth proportional to 7,768.92, 11,654.20 and 3,327.04 is: 4,990.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.92 : 11,654.20 = 3,327.04 : x
  2. Step 2: Convert to fraction form
    7,768.92/11,654.20 = 3,327.04/x
  3. Step 3: Cross multiply
    7,768.92x = 11,654.20 × 3,327.04
  4. Step 4: Simplify right side
    7,768.92x = 38,773,989.57
  5. Step 5: Solve for x
    x = 38,773,989.57/7,768.92
  6. Step 6: Final answer
    x = 4,990.91

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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.