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Finding the Fourth Proportional to 7,876.80, 11,815.18 and 2,032.92

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Solution

The fourth proportional to 7,876.80, 11,815.18 and 2,032.92 is: 3,049.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.80 : 11,815.18 = 2,032.92 : x
  2. Step 2: Convert to fraction form
    7,876.80/11,815.18 = 2,032.92/x
  3. Step 3: Cross multiply
    7,876.80x = 11,815.18 × 2,032.92
  4. Step 4: Simplify right side
    7,876.80x = 24,019,315.73
  5. Step 5: Solve for x
    x = 24,019,315.73/7,876.80
  6. Step 6: Final answer
    x = 3,049.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.