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Finding the Fourth Proportional to 7,868.57, 11,796.57 and 3,706.38

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Solution

The fourth proportional to 7,868.57, 11,796.57 and 3,706.38 is: 5,556.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868.57 : 11,796.57 = 3,706.38 : x
  2. Step 2: Convert to fraction form
    7,868.57/11,796.57 = 3,706.38/x
  3. Step 3: Cross multiply
    7,868.57x = 11,796.57 × 3,706.38
  4. Step 4: Simplify right side
    7,868.57x = 43,722,571.12
  5. Step 5: Solve for x
    x = 43,722,571.12/7,868.57
  6. Step 6: Final answer
    x = 5,556.61

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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.