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Finding the Fourth Proportional to 8,233.08, 12,321.92 and 6,849.19

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Solution

The fourth proportional to 8,233.08, 12,321.92 and 6,849.19 is: 10,250.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.08 : 12,321.92 = 6,849.19 : x
  2. Step 2: Convert to fraction form
    8,233.08/12,321.92 = 6,849.19/x
  3. Step 3: Cross multiply
    8,233.08x = 12,321.92 × 6,849.19
  4. Step 4: Simplify right side
    8,233.08x = 84,395,203.77
  5. Step 5: Solve for x
    x = 84,395,203.77/8,233.08
  6. Step 6: Final answer
    x = 10,250.75

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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.