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Finding the Fourth Proportional to 11,515.82, 15,891.17 and 6,480.24

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Solution

The fourth proportional to 11,515.82, 15,891.17 and 6,480.24 is: 8,942.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,515.82 : 15,891.17 = 6,480.24 : x
  2. Step 2: Convert to fraction form
    11,515.82/15,891.17 = 6,480.24/x
  3. Step 3: Cross multiply
    11,515.82x = 15,891.17 × 6,480.24
  4. Step 4: Simplify right side
    11,515.82x = 102,978,563.08
  5. Step 5: Solve for x
    x = 102,978,563.08/11,515.82
  6. Step 6: Final answer
    x = 8,942.36

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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.