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Finding the Fourth Proportional to 11,494.31, 17,242.36 and 3,174.26

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Solution

The fourth proportional to 11,494.31, 17,242.36 and 3,174.26 is: 4,761.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.31 : 17,242.36 = 3,174.26 : x
  2. Step 2: Convert to fraction form
    11,494.31/17,242.36 = 3,174.26/x
  3. Step 3: Cross multiply
    11,494.31x = 17,242.36 × 3,174.26
  4. Step 4: Simplify right side
    11,494.31x = 54,731,639.51
  5. Step 5: Solve for x
    x = 54,731,639.51/11,494.31
  6. Step 6: Final answer
    x = 4,761.63

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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.