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Finding the Fourth Proportional to 7,961.75, 10,987.48 and 4,424.97

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Solution

The fourth proportional to 7,961.75, 10,987.48 and 4,424.97 is: 6,106.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,961.75 : 10,987.48 = 4,424.97 : x
  2. Step 2: Convert to fraction form
    7,961.75/10,987.48 = 4,424.97/x
  3. Step 3: Cross multiply
    7,961.75x = 10,987.48 × 4,424.97
  4. Step 4: Simplify right side
    7,961.75x = 48,619,269.38
  5. Step 5: Solve for x
    x = 48,619,269.38/7,961.75
  6. Step 6: Final answer
    x = 6,106.61

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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.