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Finding the Fourth Proportional to 8,194.98, 12,292.14 and 2,351.59

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Solution

The fourth proportional to 8,194.98, 12,292.14 and 2,351.59 is: 3,527.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.98 : 12,292.14 = 2,351.59 : x
  2. Step 2: Convert to fraction form
    8,194.98/12,292.14 = 2,351.59/x
  3. Step 3: Cross multiply
    8,194.98x = 12,292.14 × 2,351.59
  4. Step 4: Simplify right side
    8,194.98x = 28,906,012.04
  5. Step 5: Solve for x
    x = 28,906,012.04/8,194.98
  6. Step 6: Final answer
    x = 3,527.28

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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.