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Finding the Fourth Proportional to 11,578.23, 17,344.10 and 5,329.56

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Solution

The fourth proportional to 11,578.23, 17,344.10 and 5,329.56 is: 7,983.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,578.23 : 17,344.10 = 5,329.56 : x
  2. Step 2: Convert to fraction form
    11,578.23/17,344.10 = 5,329.56/x
  3. Step 3: Cross multiply
    11,578.23x = 17,344.10 × 5,329.56
  4. Step 4: Simplify right side
    11,578.23x = 92,436,394.95
  5. Step 5: Solve for x
    x = 92,436,394.95/11,578.23
  6. Step 6: Final answer
    x = 7,983.64

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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.