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Finding the Fourth Proportional to 8,122.69, 11,209.32 and 4,396.69

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Solution

The fourth proportional to 8,122.69, 11,209.32 and 4,396.69 is: 6,067.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.69 : 11,209.32 = 4,396.69 : x
  2. Step 2: Convert to fraction form
    8,122.69/11,209.32 = 4,396.69/x
  3. Step 3: Cross multiply
    8,122.69x = 11,209.32 × 4,396.69
  4. Step 4: Simplify right side
    8,122.69x = 49,283,905.15
  5. Step 5: Solve for x
    x = 49,283,905.15/8,122.69
  6. Step 6: Final answer
    x = 6,067.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.