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Finding the Fourth Proportional to 11,573.82, 17,366.27 and 5,729.13

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Solution

The fourth proportional to 11,573.82, 17,366.27 and 5,729.13 is: 8,596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,573.82 : 17,366.27 = 5,729.13 : x
  2. Step 2: Convert to fraction form
    11,573.82/17,366.27 = 5,729.13/x
  3. Step 3: Cross multiply
    11,573.82x = 17,366.27 × 5,729.13
  4. Step 4: Simplify right side
    11,573.82x = 99,493,589.80
  5. Step 5: Solve for x
    x = 99,493,589.80/11,573.82
  6. Step 6: Final answer
    x = 8,596.43

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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.