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Finding the Fourth Proportional to 11,396.69, 17,089.38 and 3,497.31

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Solution

The fourth proportional to 11,396.69, 17,089.38 and 3,497.31 is: 5,244.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,396.69 : 17,089.38 = 3,497.31 : x
  2. Step 2: Convert to fraction form
    11,396.69/17,089.38 = 3,497.31/x
  3. Step 3: Cross multiply
    11,396.69x = 17,089.38 × 3,497.31
  4. Step 4: Simplify right side
    11,396.69x = 59,766,859.57
  5. Step 5: Solve for x
    x = 59,766,859.57/11,396.69
  6. Step 6: Final answer
    x = 5,244.23

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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.