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Finding the Fourth Proportional to 11,680.78, 16,118.87 and 6,375.51

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Solution

The fourth proportional to 11,680.78, 16,118.87 and 6,375.51 is: 8,797.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.78 : 16,118.87 = 6,375.51 : x
  2. Step 2: Convert to fraction form
    11,680.78/16,118.87 = 6,375.51/x
  3. Step 3: Cross multiply
    11,680.78x = 16,118.87 × 6,375.51
  4. Step 4: Simplify right side
    11,680.78x = 102,766,016.87
  5. Step 5: Solve for x
    x = 102,766,016.87/11,680.78
  6. Step 6: Final answer
    x = 8,797.87

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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.