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Finding the Fourth Proportional to 8,279.62, 11,424.56 and 5,448.15

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Solution

The fourth proportional to 8,279.62, 11,424.56 and 5,448.15 is: 7,517.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279.62 : 11,424.56 = 5,448.15 : x
  2. Step 2: Convert to fraction form
    8,279.62/11,424.56 = 5,448.15/x
  3. Step 3: Cross multiply
    8,279.62x = 11,424.56 × 5,448.15
  4. Step 4: Simplify right side
    8,279.62x = 62,242,716.56
  5. Step 5: Solve for x
    x = 62,242,716.56/8,279.62
  6. Step 6: Final answer
    x = 7,517.58

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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.