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Finding the Fourth Proportional to 7,744.62, 11,615.82 and 2,198.46

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Solution

The fourth proportional to 7,744.62, 11,615.82 and 2,198.46 is: 3,297.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.62 : 11,615.82 = 2,198.46 : x
  2. Step 2: Convert to fraction form
    7,744.62/11,615.82 = 2,198.46/x
  3. Step 3: Cross multiply
    7,744.62x = 11,615.82 × 2,198.46
  4. Step 4: Simplify right side
    7,744.62x = 25,536,915.64
  5. Step 5: Solve for x
    x = 25,536,915.64/7,744.62
  6. Step 6: Final answer
    x = 3,297.37

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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.