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Finding the Fourth Proportional to 11,660.77, 17,481.43 and 5,809.33

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Solution

The fourth proportional to 11,660.77, 17,481.43 and 5,809.33 is: 8,709.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.77 : 17,481.43 = 5,809.33 : x
  2. Step 2: Convert to fraction form
    11,660.77/17,481.43 = 5,809.33/x
  3. Step 3: Cross multiply
    11,660.77x = 17,481.43 × 5,809.33
  4. Step 4: Simplify right side
    11,660.77x = 101,555,395.74
  5. Step 5: Solve for x
    x = 101,555,395.74/11,660.77
  6. Step 6: Final answer
    x = 8,709.15

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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.