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Finding the Fourth Proportional to 11,471.17, 17,169.83 and 5,916.87

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Solution

The fourth proportional to 11,471.17, 17,169.83 and 5,916.87 is: 8,856.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,471.17 : 17,169.83 = 5,916.87 : x
  2. Step 2: Convert to fraction form
    11,471.17/17,169.83 = 5,916.87/x
  3. Step 3: Cross multiply
    11,471.17x = 17,169.83 × 5,916.87
  4. Step 4: Simplify right side
    11,471.17x = 101,591,652.03
  5. Step 5: Solve for x
    x = 101,591,652.03/11,471.17
  6. Step 6: Final answer
    x = 8,856.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.