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Finding the Fourth Proportional to 8,194.91, 12,294.20 and 2,351.07

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Solution

The fourth proportional to 8,194.91, 12,294.20 and 2,351.07 is: 3,527.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.91 : 12,294.20 = 2,351.07 : x
  2. Step 2: Convert to fraction form
    8,194.91/12,294.20 = 2,351.07/x
  3. Step 3: Cross multiply
    8,194.91x = 12,294.20 × 2,351.07
  4. Step 4: Simplify right side
    8,194.91x = 28,904,513.04
  5. Step 5: Solve for x
    x = 28,904,513.04/8,194.91
  6. Step 6: Final answer
    x = 3,527.13

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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.