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Finding the Fourth Proportional to 7,872.39, 10,863.72 and 4,335.66

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Solution

The fourth proportional to 7,872.39, 10,863.72 and 4,335.66 is: 5,983.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.39 : 10,863.72 = 4,335.66 : x
  2. Step 2: Convert to fraction form
    7,872.39/10,863.72 = 4,335.66/x
  3. Step 3: Cross multiply
    7,872.39x = 10,863.72 × 4,335.66
  4. Step 4: Simplify right side
    7,872.39x = 47,101,396.26
  5. Step 5: Solve for x
    x = 47,101,396.26/7,872.39
  6. Step 6: Final answer
    x = 5,983.11

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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.