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Finding the Fourth Proportional to 7,872.01, 10,863.38 and 4,335.23

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Solution

The fourth proportional to 7,872.01, 10,863.38 and 4,335.23 is: 5,982.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.01 : 10,863.38 = 4,335.23 : x
  2. Step 2: Convert to fraction form
    7,872.01/10,863.38 = 4,335.23/x
  3. Step 3: Cross multiply
    7,872.01x = 10,863.38 × 4,335.23
  4. Step 4: Simplify right side
    7,872.01x = 47,095,207.40
  5. Step 5: Solve for x
    x = 47,095,207.40/7,872.01
  6. Step 6: Final answer
    x = 5,982.62

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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.