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Finding the Fourth Proportional to 10,212.68, 14,096.41 and 5,964.73

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Solution

The fourth proportional to 10,212.68, 14,096.41 and 5,964.73 is: 8,233.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,212.68 : 14,096.41 = 5,964.73 : x
  2. Step 2: Convert to fraction form
    10,212.68/14,096.41 = 5,964.73/x
  3. Step 3: Cross multiply
    10,212.68x = 14,096.41 × 5,964.73
  4. Step 4: Simplify right side
    10,212.68x = 84,081,229.47
  5. Step 5: Solve for x
    x = 84,081,229.47/10,212.68
  6. Step 6: Final answer
    x = 8,233.02

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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.