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Finding the Fourth Proportional to 12,791.24, 17,647.22 and 7,751.82

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Solution

The fourth proportional to 12,791.24, 17,647.22 and 7,751.82 is: 10,694.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,791.24 : 17,647.22 = 7,751.82 : x
  2. Step 2: Convert to fraction form
    12,791.24/17,647.22 = 7,751.82/x
  3. Step 3: Cross multiply
    12,791.24x = 17,647.22 × 7,751.82
  4. Step 4: Simplify right side
    12,791.24x = 136,798,072.94
  5. Step 5: Solve for x
    x = 136,798,072.94/12,791.24
  6. Step 6: Final answer
    x = 10,694.67

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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.