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Finding the Fourth Proportional to 11,494.46, 17,241.34 and 3,174.98

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Solution

The fourth proportional to 11,494.46, 17,241.34 and 3,174.98 is: 4,762.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494.46 : 17,241.34 = 3,174.98 : x
  2. Step 2: Convert to fraction form
    11,494.46/17,241.34 = 3,174.98/x
  3. Step 3: Cross multiply
    11,494.46x = 17,241.34 × 3,174.98
  4. Step 4: Simplify right side
    11,494.46x = 54,740,909.67
  5. Step 5: Solve for x
    x = 54,740,909.67/11,494.46
  6. Step 6: Final answer
    x = 4,762.37

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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.