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Finding the Fourth Proportional to 11,767.96, 17,648.20 and 3,868.65

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Solution

The fourth proportional to 11,767.96, 17,648.20 and 3,868.65 is: 5,801.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.96 : 17,648.20 = 3,868.65 : x
  2. Step 2: Convert to fraction form
    11,767.96/17,648.20 = 3,868.65/x
  3. Step 3: Cross multiply
    11,767.96x = 17,648.20 × 3,868.65
  4. Step 4: Simplify right side
    11,767.96x = 68,274,708.93
  5. Step 5: Solve for x
    x = 68,274,708.93/11,767.96
  6. Step 6: Final answer
    x = 5,801.75

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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.