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Finding the Fourth Proportional to 11,680.44, 16,118.52 and 6,375.24

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Solution

The fourth proportional to 11,680.44, 16,118.52 and 6,375.24 is: 8,797.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.44 : 16,118.52 = 6,375.24 : x
  2. Step 2: Convert to fraction form
    11,680.44/16,118.52 = 6,375.24/x
  3. Step 3: Cross multiply
    11,680.44x = 16,118.52 × 6,375.24
  4. Step 4: Simplify right side
    11,680.44x = 102,759,433.44
  5. Step 5: Solve for x
    x = 102,759,433.44/11,680.44
  6. Step 6: Final answer
    x = 8,797.57

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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.