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Finding the Fourth Proportional to 10,981.14, 16,471.94 and 3,961.72

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Solution

The fourth proportional to 10,981.14, 16,471.94 and 3,961.72 is: 5,942.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,981.14 : 16,471.94 = 3,961.72 : x
  2. Step 2: Convert to fraction form
    10,981.14/16,471.94 = 3,961.72/x
  3. Step 3: Cross multiply
    10,981.14x = 16,471.94 × 3,961.72
  4. Step 4: Simplify right side
    10,981.14x = 65,257,214.14
  5. Step 5: Solve for x
    x = 65,257,214.14/10,981.14
  6. Step 6: Final answer
    x = 5,942.66

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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.