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Finding the Fourth Proportional to 8,234.70, 12,356.37 and 3,304.86

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Solution

The fourth proportional to 8,234.70, 12,356.37 and 3,304.86 is: 4,959.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.70 : 12,356.37 = 3,304.86 : x
  2. Step 2: Convert to fraction form
    8,234.70/12,356.37 = 3,304.86/x
  3. Step 3: Cross multiply
    8,234.70x = 12,356.37 × 3,304.86
  4. Step 4: Simplify right side
    8,234.70x = 40,836,072.96
  5. Step 5: Solve for x
    x = 40,836,072.96/8,234.70
  6. Step 6: Final answer
    x = 4,959.02

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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.