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Finding the Fourth Proportional to 11,231.26, 16,824.38 and 7,268.84

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Solution

The fourth proportional to 11,231.26, 16,824.38 and 7,268.84 is: 10,888.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,231.26 : 16,824.38 = 7,268.84 : x
  2. Step 2: Convert to fraction form
    11,231.26/16,824.38 = 7,268.84/x
  3. Step 3: Cross multiply
    11,231.26x = 16,824.38 × 7,268.84
  4. Step 4: Simplify right side
    11,231.26x = 122,293,668.94
  5. Step 5: Solve for x
    x = 122,293,668.94/11,231.26
  6. Step 6: Final answer
    x = 10,888.69

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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.