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Finding the Fourth Proportional to 11,143.96, 16,717.55 and 5,947

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Solution

The fourth proportional to 11,143.96, 16,717.55 and 5,947 is: 8,921.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,143.96 : 16,717.55 = 5,947 : x
  2. Step 2: Convert to fraction form
    11,143.96/16,717.55 = 5,947/x
  3. Step 3: Cross multiply
    11,143.96x = 16,717.55 × 5,947
  4. Step 4: Simplify right side
    11,143.96x = 99,419,269.85
  5. Step 5: Solve for x
    x = 99,419,269.85/11,143.96
  6. Step 6: Final answer
    x = 8,921.36

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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.