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Finding the Fourth Proportional to 8,234.83, 12,352.24 and 3,857.18

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Solution

The fourth proportional to 8,234.83, 12,352.24 and 3,857.18 is: 5,785.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.83 : 12,352.24 = 3,857.18 : x
  2. Step 2: Convert to fraction form
    8,234.83/12,352.24 = 3,857.18/x
  3. Step 3: Cross multiply
    8,234.83x = 12,352.24 × 3,857.18
  4. Step 4: Simplify right side
    8,234.83x = 47,644,813.08
  5. Step 5: Solve for x
    x = 47,644,813.08/8,234.83
  6. Step 6: Final answer
    x = 5,785.77

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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.