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Finding the Fourth Proportional to 11,532.18, 17,296.98 and 6,791.22

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Solution

The fourth proportional to 11,532.18, 17,296.98 and 6,791.22 is: 10,186.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,532.18 : 17,296.98 = 6,791.22 : x
  2. Step 2: Convert to fraction form
    11,532.18/17,296.98 = 6,791.22/x
  3. Step 3: Cross multiply
    11,532.18x = 17,296.98 × 6,791.22
  4. Step 4: Simplify right side
    11,532.18x = 117,467,596.52
  5. Step 5: Solve for x
    x = 117,467,596.52/11,532.18
  6. Step 6: Final answer
    x = 10,186.07

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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.