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Finding the Fourth Proportional to 10,711.50, 16,067.46 and 2,920.52

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Solution

The fourth proportional to 10,711.50, 16,067.46 and 2,920.52 is: 4,380.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.50 : 16,067.46 = 2,920.52 : x
  2. Step 2: Convert to fraction form
    10,711.50/16,067.46 = 2,920.52/x
  3. Step 3: Cross multiply
    10,711.50x = 16,067.46 × 2,920.52
  4. Step 4: Simplify right side
    10,711.50x = 46,925,257.94
  5. Step 5: Solve for x
    x = 46,925,257.94/10,711.50
  6. Step 6: Final answer
    x = 4,380.83

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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.