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Finding the Fourth Proportional to 11,944.70, 17,916.74 and 5,709.12

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Solution

The fourth proportional to 11,944.70, 17,916.74 and 5,709.12 is: 8,563.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,944.70 : 17,916.74 = 5,709.12 : x
  2. Step 2: Convert to fraction form
    11,944.70/17,916.74 = 5,709.12/x
  3. Step 3: Cross multiply
    11,944.70x = 17,916.74 × 5,709.12
  4. Step 4: Simplify right side
    11,944.70x = 102,288,790.12
  5. Step 5: Solve for x
    x = 102,288,790.12/11,944.70
  6. Step 6: Final answer
    x = 8,563.53

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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.