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Finding the Fourth Proportional to 12,794.10, 19,193.85 and 3,908.70

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Solution

The fourth proportional to 12,794.10, 19,193.85 and 3,908.70 is: 5,863.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.10 : 19,193.85 = 3,908.70 : x
  2. Step 2: Convert to fraction form
    12,794.10/19,193.85 = 3,908.70/x
  3. Step 3: Cross multiply
    12,794.10x = 19,193.85 × 3,908.70
  4. Step 4: Simplify right side
    12,794.10x = 75,023,001.50
  5. Step 5: Solve for x
    x = 75,023,001.50/12,794.10
  6. Step 6: Final answer
    x = 5,863.87

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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.