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Finding the Fourth Proportional to 7,677.90, 11,517.03 and 2,747.88

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Solution

The fourth proportional to 7,677.90, 11,517.03 and 2,747.88 is: 4,121.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.90 : 11,517.03 = 2,747.88 : x
  2. Step 2: Convert to fraction form
    7,677.90/11,517.03 = 2,747.88/x
  3. Step 3: Cross multiply
    7,677.90x = 11,517.03 × 2,747.88
  4. Step 4: Simplify right side
    7,677.90x = 31,647,416.40
  5. Step 5: Solve for x
    x = 31,647,416.40/7,677.90
  6. Step 6: Final answer
    x = 4,121.88

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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.