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Finding the Fourth Proportional to 11,946.56, 16,465.94 and 8,163.16

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Solution

The fourth proportional to 11,946.56, 16,465.94 and 8,163.16 is: 11,251.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,946.56 : 16,465.94 = 8,163.16 : x
  2. Step 2: Convert to fraction form
    11,946.56/16,465.94 = 8,163.16/x
  3. Step 3: Cross multiply
    11,946.56x = 16,465.94 × 8,163.16
  4. Step 4: Simplify right side
    11,946.56x = 134,414,082.54
  5. Step 5: Solve for x
    x = 134,414,082.54/11,946.56
  6. Step 6: Final answer
    x = 11,251.28

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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.