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Finding the Fourth Proportional to 7,449.20, 10,279.49 and 4,092.47

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Solution

The fourth proportional to 7,449.20, 10,279.49 and 4,092.47 is: 5,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,449.20 : 10,279.49 = 4,092.47 : x
  2. Step 2: Convert to fraction form
    7,449.20/10,279.49 = 4,092.47/x
  3. Step 3: Cross multiply
    7,449.20x = 10,279.49 × 4,092.47
  4. Step 4: Simplify right side
    7,449.20x = 42,068,504.44
  5. Step 5: Solve for x
    x = 42,068,504.44/7,449.20
  6. Step 6: Final answer
    x = 5,647.39

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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.