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Finding the Fourth Proportional to 8,131.62, 11,178.51 and 6,993.11

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Solution

The fourth proportional to 8,131.62, 11,178.51 and 6,993.11 is: 9,613.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.62 : 11,178.51 = 6,993.11 : x
  2. Step 2: Convert to fraction form
    8,131.62/11,178.51 = 6,993.11/x
  3. Step 3: Cross multiply
    8,131.62x = 11,178.51 × 6,993.11
  4. Step 4: Simplify right side
    8,131.62x = 78,172,520.35
  5. Step 5: Solve for x
    x = 78,172,520.35/8,131.62
  6. Step 6: Final answer
    x = 9,613.41

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.