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Finding the Fourth Proportional to 10,711.92, 16,067.88 and 2,920.68

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Solution

The fourth proportional to 10,711.92, 16,067.88 and 2,920.68 is: 4,381.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,711.92 : 16,067.88 = 2,920.68 : x
  2. Step 2: Convert to fraction form
    10,711.92/16,067.88 = 2,920.68/x
  3. Step 3: Cross multiply
    10,711.92x = 16,067.88 × 2,920.68
  4. Step 4: Simplify right side
    10,711.92x = 46,929,135.76
  5. Step 5: Solve for x
    x = 46,929,135.76/10,711.92
  6. Step 6: Final answer
    x = 4,381.02

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