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Finding the Fourth Proportional to 8,512.62, 11,674.11 and 8,157.82

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Solution

The fourth proportional to 8,512.62, 11,674.11 and 8,157.82 is: 11,187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.62 : 11,674.11 = 8,157.82 : x
  2. Step 2: Convert to fraction form
    8,512.62/11,674.11 = 8,157.82/x
  3. Step 3: Cross multiply
    8,512.62x = 11,674.11 × 8,157.82
  4. Step 4: Simplify right side
    8,512.62x = 95,235,288.04
  5. Step 5: Solve for x
    x = 95,235,288.04/8,512.62
  6. Step 6: Final answer
    x = 11,187.54

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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.