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Finding the Fourth Proportional to 8,279.14, 11,424.61 and 4,694.17

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Solution

The fourth proportional to 8,279.14, 11,424.61 and 4,694.17 is: 6,477.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279.14 : 11,424.61 = 4,694.17 : x
  2. Step 2: Convert to fraction form
    8,279.14/11,424.61 = 4,694.17/x
  3. Step 3: Cross multiply
    8,279.14x = 11,424.61 × 4,694.17
  4. Step 4: Simplify right side
    8,279.14x = 53,629,021.23
  5. Step 5: Solve for x
    x = 53,629,021.23/8,279.14
  6. Step 6: Final answer
    x = 6,477.61

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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.