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Finding the Fourth Proportional to 11,540.85, 17,311.29 and 3,749.66

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Solution

The fourth proportional to 11,540.85, 17,311.29 and 3,749.66 is: 5,624.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,540.85 : 17,311.29 = 3,749.66 : x
  2. Step 2: Convert to fraction form
    11,540.85/17,311.29 = 3,749.66/x
  3. Step 3: Cross multiply
    11,540.85x = 17,311.29 × 3,749.66
  4. Step 4: Simplify right side
    11,540.85x = 64,911,451.66
  5. Step 5: Solve for x
    x = 64,911,451.66/11,540.85
  6. Step 6: Final answer
    x = 5,624.49

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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.