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Finding the Fourth Proportional to 8,111.39, 12,168.32 and 3,431.40

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Solution

The fourth proportional to 8,111.39, 12,168.32 and 3,431.40 is: 5,147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.39 : 12,168.32 = 3,431.40 : x
  2. Step 2: Convert to fraction form
    8,111.39/12,168.32 = 3,431.40/x
  3. Step 3: Cross multiply
    8,111.39x = 12,168.32 × 3,431.40
  4. Step 4: Simplify right side
    8,111.39x = 41,754,356.09
  5. Step 5: Solve for x
    x = 41,754,356.09/8,111.39
  6. Step 6: Final answer
    x = 5,147.62

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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.