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Finding the Fourth Proportional to 11,494.44, 17,241.30 and 3,174.96

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Solution

The fourth proportional to 11,494.44, 17,241.30 and 3,174.96 is: 4,762.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.44 : 17,241.30 = 3,174.96 : x
  2. Step 2: Convert to fraction form
    11,494.44/17,241.30 = 3,174.96/x
  3. Step 3: Cross multiply
    11,494.44x = 17,241.30 × 3,174.96
  4. Step 4: Simplify right side
    11,494.44x = 54,740,437.85
  5. Step 5: Solve for x
    x = 54,740,437.85/11,494.44
  6. Step 6: Final answer
    x = 4,762.34

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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.