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Finding the Fourth Proportional to 11,474.70, 17,184.26 and 5,837.54

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Solution

The fourth proportional to 11,474.70, 17,184.26 and 5,837.54 is: 8,742.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.70 : 17,184.26 = 5,837.54 : x
  2. Step 2: Convert to fraction form
    11,474.70/17,184.26 = 5,837.54/x
  3. Step 3: Cross multiply
    11,474.70x = 17,184.26 × 5,837.54
  4. Step 4: Simplify right side
    11,474.70x = 100,313,805.12
  5. Step 5: Solve for x
    x = 100,313,805.12/11,474.70
  6. Step 6: Final answer
    x = 8,742.17

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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.