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Finding the Fourth Proportional to 8,279.52, 11,424.48 and 4,694.28

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Solution

The fourth proportional to 8,279.52, 11,424.48 and 4,694.28 is: 6,477.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,279.52 : 11,424.48 = 4,694.28 : x
  2. Step 2: Convert to fraction form
    8,279.52/11,424.48 = 4,694.28/x
  3. Step 3: Cross multiply
    8,279.52x = 11,424.48 × 4,694.28
  4. Step 4: Simplify right side
    8,279.52x = 53,629,707.97
  5. Step 5: Solve for x
    x = 53,629,707.97/8,279.52
  6. Step 6: Final answer
    x = 6,477.39

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Why These Related Problems?

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