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Finding the Fourth Proportional to 8,367.95, 12,540.98 and 3,431.81

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Solution

The fourth proportional to 8,367.95, 12,540.98 and 3,431.81 is: 5,143.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.95 : 12,540.98 = 3,431.81 : x
  2. Step 2: Convert to fraction form
    8,367.95/12,540.98 = 3,431.81/x
  3. Step 3: Cross multiply
    8,367.95x = 12,540.98 × 3,431.81
  4. Step 4: Simplify right side
    8,367.95x = 43,038,260.57
  5. Step 5: Solve for x
    x = 43,038,260.57/8,367.95
  6. Step 6: Final answer
    x = 5,143.23

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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.