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Finding the Fourth Proportional to 8,131.95, 12,198.92 and 2,288.57

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Solution

The fourth proportional to 8,131.95, 12,198.92 and 2,288.57 is: 3,433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.95 : 12,198.92 = 2,288.57 : x
  2. Step 2: Convert to fraction form
    8,131.95/12,198.92 = 2,288.57/x
  3. Step 3: Cross multiply
    8,131.95x = 12,198.92 × 2,288.57
  4. Step 4: Simplify right side
    8,131.95x = 27,918,009.91
  5. Step 5: Solve for x
    x = 27,918,009.91/8,131.95
  6. Step 6: Final answer
    x = 3,433.13

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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.