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Finding the Fourth Proportional to 7,744.59, 11,615.15 and 2,197.82

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Solution

The fourth proportional to 7,744.59, 11,615.15 and 2,197.82 is: 3,296.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.59 : 11,615.15 = 2,197.82 : x
  2. Step 2: Convert to fraction form
    7,744.59/11,615.15 = 2,197.82/x
  3. Step 3: Cross multiply
    7,744.59x = 11,615.15 × 2,197.82
  4. Step 4: Simplify right side
    7,744.59x = 25,527,939.91
  5. Step 5: Solve for x
    x = 25,527,939.91/7,744.59
  6. Step 6: Final answer
    x = 3,296.23

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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.