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Finding the Fourth Proportional to 8,234.83, 12,352.87 and 3,234.79

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Solution

The fourth proportional to 8,234.83, 12,352.87 and 3,234.79 is: 4,852.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.83 : 12,352.87 = 3,234.79 : x
  2. Step 2: Convert to fraction form
    8,234.83/12,352.87 = 3,234.79/x
  3. Step 3: Cross multiply
    8,234.83x = 12,352.87 × 3,234.79
  4. Step 4: Simplify right side
    8,234.83x = 39,958,940.35
  5. Step 5: Solve for x
    x = 39,958,940.35/8,234.83
  6. Step 6: Final answer
    x = 4,852.43

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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.