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Finding the Fourth Proportional to 11,741.99, 17,611.16 and 3,420.27

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Solution

The fourth proportional to 11,741.99, 17,611.16 and 3,420.27 is: 5,129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741.99 : 17,611.16 = 3,420.27 : x
  2. Step 2: Convert to fraction form
    11,741.99/17,611.16 = 3,420.27/x
  3. Step 3: Cross multiply
    11,741.99x = 17,611.16 × 3,420.27
  4. Step 4: Simplify right side
    11,741.99x = 60,234,905.11
  5. Step 5: Solve for x
    x = 60,234,905.11/11,741.99
  6. Step 6: Final answer
    x = 5,129.87

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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.