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Finding the Fourth Proportional to 8,239.84, 12,361.38 and 3,046.12

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Solution

The fourth proportional to 8,239.84, 12,361.38 and 3,046.12 is: 4,569.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.84 : 12,361.38 = 3,046.12 : x
  2. Step 2: Convert to fraction form
    8,239.84/12,361.38 = 3,046.12/x
  3. Step 3: Cross multiply
    8,239.84x = 12,361.38 × 3,046.12
  4. Step 4: Simplify right side
    8,239.84x = 37,654,246.85
  5. Step 5: Solve for x
    x = 37,654,246.85/8,239.84
  6. Step 6: Final answer
    x = 4,569.78

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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.