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Finding the Fourth Proportional to 11,771.17, 17,659.48 and 3,451.83

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Solution

The fourth proportional to 11,771.17, 17,659.48 and 3,451.83 is: 5,178.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,771.17 : 17,659.48 = 3,451.83 : x
  2. Step 2: Convert to fraction form
    11,771.17/17,659.48 = 3,451.83/x
  3. Step 3: Cross multiply
    11,771.17x = 17,659.48 × 3,451.83
  4. Step 4: Simplify right side
    11,771.17x = 60,957,522.85
  5. Step 5: Solve for x
    x = 60,957,522.85/11,771.17
  6. Step 6: Final answer
    x = 5,178.54

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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.