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Finding the Fourth Proportional to 8,111.96, 11,197.62 and 6,344.12

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Solution

The fourth proportional to 8,111.96, 11,197.62 and 6,344.12 is: 8,757.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.96 : 11,197.62 = 6,344.12 : x
  2. Step 2: Convert to fraction form
    8,111.96/11,197.62 = 6,344.12/x
  3. Step 3: Cross multiply
    8,111.96x = 11,197.62 × 6,344.12
  4. Step 4: Simplify right side
    8,111.96x = 71,039,044.99
  5. Step 5: Solve for x
    x = 71,039,044.99/8,111.96
  6. Step 6: Final answer
    x = 8,757.32

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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.