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Finding the Fourth Proportional to 8,131.40, 12,199.40 and 2,288.06

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Solution

The fourth proportional to 8,131.40, 12,199.40 and 2,288.06 is: 3,432.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.40 : 12,199.40 = 2,288.06 : x
  2. Step 2: Convert to fraction form
    8,131.40/12,199.40 = 2,288.06/x
  3. Step 3: Cross multiply
    8,131.40x = 12,199.40 × 2,288.06
  4. Step 4: Simplify right side
    8,131.40x = 27,912,947.72
  5. Step 5: Solve for x
    x = 27,912,947.72/8,131.40
  6. Step 6: Final answer
    x = 3,432.74

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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.