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Finding the Fourth Proportional to 8,197.08, 11,321.38 and 5,968.88

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Solution

The fourth proportional to 8,197.08, 11,321.38 and 5,968.88 is: 8,243.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.08 : 11,321.38 = 5,968.88 : x
  2. Step 2: Convert to fraction form
    8,197.08/11,321.38 = 5,968.88/x
  3. Step 3: Cross multiply
    8,197.08x = 11,321.38 × 5,968.88
  4. Step 4: Simplify right side
    8,197.08x = 67,575,958.65
  5. Step 5: Solve for x
    x = 67,575,958.65/8,197.08
  6. Step 6: Final answer
    x = 8,243.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.