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Finding the Fourth Proportional to 7,877.89, 10,871.04 and 4,520.38

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Solution

The fourth proportional to 7,877.89, 10,871.04 and 4,520.38 is: 6,237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.89 : 10,871.04 = 4,520.38 : x
  2. Step 2: Convert to fraction form
    7,877.89/10,871.04 = 4,520.38/x
  3. Step 3: Cross multiply
    7,877.89x = 10,871.04 × 4,520.38
  4. Step 4: Simplify right side
    7,877.89x = 49,141,231.80
  5. Step 5: Solve for x
    x = 49,141,231.80/7,877.89
  6. Step 6: Final answer
    x = 6,237.87

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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.