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Finding the Fourth Proportional to 7,793.16, 11,689.82 and 1,949.77

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Solution

The fourth proportional to 7,793.16, 11,689.82 and 1,949.77 is: 2,924.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.16 : 11,689.82 = 1,949.77 : x
  2. Step 2: Convert to fraction form
    7,793.16/11,689.82 = 1,949.77/x
  3. Step 3: Cross multiply
    7,793.16x = 11,689.82 × 1,949.77
  4. Step 4: Simplify right side
    7,793.16x = 22,792,472.52
  5. Step 5: Solve for x
    x = 22,792,472.52/7,793.16
  6. Step 6: Final answer
    x = 2,924.68

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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.