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Finding the Fourth Proportional to 6,891.72, 10,342.44 and 3,966

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Solution

The fourth proportional to 6,891.72, 10,342.44 and 3,966 is: 5,951.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.72 : 10,342.44 = 3,966 : x
  2. Step 2: Convert to fraction form
    6,891.72/10,342.44 = 3,966/x
  3. Step 3: Cross multiply
    6,891.72x = 10,342.44 × 3,966
  4. Step 4: Simplify right side
    6,891.72x = 41,018,117.04
  5. Step 5: Solve for x
    x = 41,018,117.04/6,891.72
  6. Step 6: Final answer
    x = 5,951.80

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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.