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Finding the Fourth Proportional to 8,129.84, 12,194.96 and 2,286.80

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Solution

The fourth proportional to 8,129.84, 12,194.96 and 2,286.80 is: 3,430.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.84 : 12,194.96 = 2,286.80 : x
  2. Step 2: Convert to fraction form
    8,129.84/12,194.96 = 2,286.80/x
  3. Step 3: Cross multiply
    8,129.84x = 12,194.96 × 2,286.80
  4. Step 4: Simplify right side
    8,129.84x = 27,887,434.53
  5. Step 5: Solve for x
    x = 27,887,434.53/8,129.84
  6. Step 6: Final answer
    x = 3,430.26

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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.