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Finding the Fourth Proportional to 7,757.97, 11,638.78 and 2,211.40

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Solution

The fourth proportional to 7,757.97, 11,638.78 and 2,211.40 is: 3,317.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.97 : 11,638.78 = 2,211.40 : x
  2. Step 2: Convert to fraction form
    7,757.97/11,638.78 = 2,211.40/x
  3. Step 3: Cross multiply
    7,757.97x = 11,638.78 × 2,211.40
  4. Step 4: Simplify right side
    7,757.97x = 25,737,975.91
  5. Step 5: Solve for x
    x = 25,737,975.91/7,757.97
  6. Step 6: Final answer
    x = 3,317.62

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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.