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Finding the Fourth Proportional to 7,872.58, 10,864.14 and 4,335.79

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Solution

The fourth proportional to 7,872.58, 10,864.14 and 4,335.79 is: 5,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.58 : 10,864.14 = 4,335.79 : x
  2. Step 2: Convert to fraction form
    7,872.58/10,864.14 = 4,335.79/x
  3. Step 3: Cross multiply
    7,872.58x = 10,864.14 × 4,335.79
  4. Step 4: Simplify right side
    7,872.58x = 47,104,629.57
  5. Step 5: Solve for x
    x = 47,104,629.57/7,872.58
  6. Step 6: Final answer
    x = 5,983.38

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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.