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Finding the Fourth Proportional to 8,234.06, 12,361.34 and 6,864.14

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Solution

The fourth proportional to 8,234.06, 12,361.34 and 6,864.14 is: 10,304.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.06 : 12,361.34 = 6,864.14 : x
  2. Step 2: Convert to fraction form
    8,234.06/12,361.34 = 6,864.14/x
  3. Step 3: Cross multiply
    8,234.06x = 12,361.34 × 6,864.14
  4. Step 4: Simplify right side
    8,234.06x = 84,850,016.41
  5. Step 5: Solve for x
    x = 84,850,016.41/8,234.06
  6. Step 6: Final answer
    x = 10,304.77

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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.