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Finding the Fourth Proportional to 11,597.25, 17,372.84 and 5,735.97

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Solution

The fourth proportional to 11,597.25, 17,372.84 and 5,735.97 is: 8,592.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597.25 : 17,372.84 = 5,735.97 : x
  2. Step 2: Convert to fraction form
    11,597.25/17,372.84 = 5,735.97/x
  3. Step 3: Cross multiply
    11,597.25x = 17,372.84 × 5,735.97
  4. Step 4: Simplify right side
    11,597.25x = 99,650,060.37
  5. Step 5: Solve for x
    x = 99,650,060.37/11,597.25
  6. Step 6: Final answer
    x = 8,592.56

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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.