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Finding the Fourth Proportional to 8,167.80, 12,238.26 and 7,486.92

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Solution

The fourth proportional to 8,167.80, 12,238.26 and 7,486.92 is: 11,218.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.80 : 12,238.26 = 7,486.92 : x
  2. Step 2: Convert to fraction form
    8,167.80/12,238.26 = 7,486.92/x
  3. Step 3: Cross multiply
    8,167.80x = 12,238.26 × 7,486.92
  4. Step 4: Simplify right side
    8,167.80x = 91,626,873.56
  5. Step 5: Solve for x
    x = 91,626,873.56/8,167.80
  6. Step 6: Final answer
    x = 11,218.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.