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Finding the Fourth Proportional to 8,234.85, 12,352.29 and 3,855.39

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Solution

The fourth proportional to 8,234.85, 12,352.29 and 3,855.39 is: 5,783.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.85 : 12,352.29 = 3,855.39 : x
  2. Step 2: Convert to fraction form
    8,234.85/12,352.29 = 3,855.39/x
  3. Step 3: Cross multiply
    8,234.85x = 12,352.29 × 3,855.39
  4. Step 4: Simplify right side
    8,234.85x = 47,622,834.56
  5. Step 5: Solve for x
    x = 47,622,834.56/8,234.85
  6. Step 6: Final answer
    x = 5,783.08

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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.