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Finding the Fourth Proportional to 7,872.38, 10,863.88 and 4,335.58

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Solution

The fourth proportional to 7,872.38, 10,863.88 and 4,335.58 is: 5,983.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.38 : 10,863.88 = 4,335.58 : x
  2. Step 2: Convert to fraction form
    7,872.38/10,863.88 = 4,335.58/x
  3. Step 3: Cross multiply
    7,872.38x = 10,863.88 × 4,335.58
  4. Step 4: Simplify right side
    7,872.38x = 47,101,220.85
  5. Step 5: Solve for x
    x = 47,101,220.85/7,872.38
  6. Step 6: Final answer
    x = 5,983.10

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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.