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Finding the Fourth Proportional to 7,877.97, 10,871.49 and 4,341.24

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Solution

The fourth proportional to 7,877.97, 10,871.49 and 4,341.24 is: 5,990.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,877.97 : 10,871.49 = 4,341.24 : x
  2. Step 2: Convert to fraction form
    7,877.97/10,871.49 = 4,341.24/x
  3. Step 3: Cross multiply
    7,877.97x = 10,871.49 × 4,341.24
  4. Step 4: Simplify right side
    7,877.97x = 47,195,747.25
  5. Step 5: Solve for x
    x = 47,195,747.25/7,877.97
  6. Step 6: Final answer
    x = 5,990.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.