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Finding the Fourth Proportional to 10,679.82, 14,738.45 and 5,964.41

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Solution

The fourth proportional to 10,679.82, 14,738.45 and 5,964.41 is: 8,231.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,679.82 : 14,738.45 = 5,964.41 : x
  2. Step 2: Convert to fraction form
    10,679.82/14,738.45 = 5,964.41/x
  3. Step 3: Cross multiply
    10,679.82x = 14,738.45 × 5,964.41
  4. Step 4: Simplify right side
    10,679.82x = 87,906,055.05
  5. Step 5: Solve for x
    x = 87,906,055.05/10,679.82
  6. Step 6: Final answer
    x = 8,231.04

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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.