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Finding the Fourth Proportional to 11,491.82, 17,238.32 and 3,171.66

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Solution

The fourth proportional to 11,491.82, 17,238.32 and 3,171.66 is: 4,757.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.82 : 17,238.32 = 3,171.66 : x
  2. Step 2: Convert to fraction form
    11,491.82/17,238.32 = 3,171.66/x
  3. Step 3: Cross multiply
    11,491.82x = 17,238.32 × 3,171.66
  4. Step 4: Simplify right side
    11,491.82x = 54,674,021.40
  5. Step 5: Solve for x
    x = 54,674,021.40/11,491.82
  6. Step 6: Final answer
    x = 4,757.65

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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.