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Finding the Fourth Proportional to 10,960.92, 16,443.81 and 3,169.14

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Solution

The fourth proportional to 10,960.92, 16,443.81 and 3,169.14 is: 4,754.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,960.92 : 16,443.81 = 3,169.14 : x
  2. Step 2: Convert to fraction form
    10,960.92/16,443.81 = 3,169.14/x
  3. Step 3: Cross multiply
    10,960.92x = 16,443.81 × 3,169.14
  4. Step 4: Simplify right side
    10,960.92x = 52,112,736.02
  5. Step 5: Solve for x
    x = 52,112,736.02/10,960.92
  6. Step 6: Final answer
    x = 4,754.41

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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.