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Finding the Fourth Proportional to 8,238.24, 12,348.72 and 3,852

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Solution

The fourth proportional to 8,238.24, 12,348.72 and 3,852 is: 5,773.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.24 : 12,348.72 = 3,852 : x
  2. Step 2: Convert to fraction form
    8,238.24/12,348.72 = 3,852/x
  3. Step 3: Cross multiply
    8,238.24x = 12,348.72 × 3,852
  4. Step 4: Simplify right side
    8,238.24x = 47,567,269.44
  5. Step 5: Solve for x
    x = 47,567,269.44/8,238.24
  6. Step 6: Final answer
    x = 5,773.96

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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.