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Finding the Fourth Proportional to 11,644.78, 17,471.73 and 6,711.73

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Solution

The fourth proportional to 11,644.78, 17,471.73 and 6,711.73 is: 10,070.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,644.78 : 17,471.73 = 6,711.73 : x
  2. Step 2: Convert to fraction form
    11,644.78/17,471.73 = 6,711.73/x
  3. Step 3: Cross multiply
    11,644.78x = 17,471.73 × 6,711.73
  4. Step 4: Simplify right side
    11,644.78x = 117,265,534.39
  5. Step 5: Solve for x
    x = 117,265,534.39/11,644.78
  6. Step 6: Final answer
    x = 10,070.22

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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.