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Finding the Fourth Proportional to 11,814.52, 17,722.56 and 3,917

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Solution

The fourth proportional to 11,814.52, 17,722.56 and 3,917 is: 5,875.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.52 : 17,722.56 = 3,917 : x
  2. Step 2: Convert to fraction form
    11,814.52/17,722.56 = 3,917/x
  3. Step 3: Cross multiply
    11,814.52x = 17,722.56 × 3,917
  4. Step 4: Simplify right side
    11,814.52x = 69,419,267.52
  5. Step 5: Solve for x
    x = 69,419,267.52/11,814.52
  6. Step 6: Final answer
    x = 5,875.76

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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.