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Finding the Fourth Proportional to 8,296.74, 11,449.17 and 4,519.80

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Solution

The fourth proportional to 8,296.74, 11,449.17 and 4,519.80 is: 6,237.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.74 : 11,449.17 = 4,519.80 : x
  2. Step 2: Convert to fraction form
    8,296.74/11,449.17 = 4,519.80/x
  3. Step 3: Cross multiply
    8,296.74x = 11,449.17 × 4,519.80
  4. Step 4: Simplify right side
    8,296.74x = 51,747,958.57
  5. Step 5: Solve for x
    x = 51,747,958.57/8,296.74
  6. Step 6: Final answer
    x = 6,237.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.