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Finding the Fourth Proportional to 11,524.88, 17,299.17 and 5,976.74

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Solution

The fourth proportional to 11,524.88, 17,299.17 and 5,976.74 is: 8,971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,524.88 : 17,299.17 = 5,976.74 : x
  2. Step 2: Convert to fraction form
    11,524.88/17,299.17 = 5,976.74/x
  3. Step 3: Cross multiply
    11,524.88x = 17,299.17 × 5,976.74
  4. Step 4: Simplify right side
    11,524.88x = 103,392,587.25
  5. Step 5: Solve for x
    x = 103,392,587.25/11,524.88
  6. Step 6: Final answer
    x = 8,971.25

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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.