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Finding the Fourth Proportional to 11,938.66, 17,906.77 and 3,174.46

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Solution

The fourth proportional to 11,938.66, 17,906.77 and 3,174.46 is: 4,761.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,938.66 : 17,906.77 = 3,174.46 : x
  2. Step 2: Convert to fraction form
    11,938.66/17,906.77 = 3,174.46/x
  3. Step 3: Cross multiply
    11,938.66x = 17,906.77 × 3,174.46
  4. Step 4: Simplify right side
    11,938.66x = 56,844,325.09
  5. Step 5: Solve for x
    x = 56,844,325.09/11,938.66
  6. Step 6: Final answer
    x = 4,761.37

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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.