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Finding the Fourth Proportional to 10,891.82, 16,337.41 and 3,100.63

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Solution

The fourth proportional to 10,891.82, 16,337.41 and 3,100.63 is: 4,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891.82 : 16,337.41 = 3,100.63 : x
  2. Step 2: Convert to fraction form
    10,891.82/16,337.41 = 3,100.63/x
  3. Step 3: Cross multiply
    10,891.82x = 16,337.41 × 3,100.63
  4. Step 4: Simplify right side
    10,891.82x = 50,656,263.57
  5. Step 5: Solve for x
    x = 50,656,263.57/10,891.82
  6. Step 6: Final answer
    x = 4,650.85

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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.