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Finding the Fourth Proportional to 7,443.97, 10,272.05 and 4,086.75

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Solution

The fourth proportional to 7,443.97, 10,272.05 and 4,086.75 is: 5,639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,443.97 : 10,272.05 = 4,086.75 : x
  2. Step 2: Convert to fraction form
    7,443.97/10,272.05 = 4,086.75/x
  3. Step 3: Cross multiply
    7,443.97x = 10,272.05 × 4,086.75
  4. Step 4: Simplify right side
    7,443.97x = 41,979,333.75
  5. Step 5: Solve for x
    x = 41,979,333.75/7,443.97
  6. Step 6: Final answer
    x = 5,639.38

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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.