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Finding the Fourth Proportional to 8,239.86, 12,359.82 and 2,396.64

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Solution

The fourth proportional to 8,239.86, 12,359.82 and 2,396.64 is: 3,594.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,239.86 : 12,359.82 = 2,396.64 : x
  2. Step 2: Convert to fraction form
    8,239.86/12,359.82 = 2,396.64/x
  3. Step 3: Cross multiply
    8,239.86x = 12,359.82 × 2,396.64
  4. Step 4: Simplify right side
    8,239.86x = 29,622,039.00
  5. Step 5: Solve for x
    x = 29,622,039.00/8,239.86
  6. Step 6: Final answer
    x = 3,594.97

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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.