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Finding the Fourth Proportional to 7,871.75, 10,863.03 and 4,335.29

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Solution

The fourth proportional to 7,871.75, 10,863.03 and 4,335.29 is: 5,982.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.75 : 10,863.03 = 4,335.29 : x
  2. Step 2: Convert to fraction form
    7,871.75/10,863.03 = 4,335.29/x
  3. Step 3: Cross multiply
    7,871.75x = 10,863.03 × 4,335.29
  4. Step 4: Simplify right side
    7,871.75x = 47,094,385.33
  5. Step 5: Solve for x
    x = 47,094,385.33/7,871.75
  6. Step 6: Final answer
    x = 5,982.71

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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.