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Finding the Fourth Proportional to 11,544.44, 17,294.90 and 5,694.20

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Solution

The fourth proportional to 11,544.44, 17,294.90 and 5,694.20 is: 8,530.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,544.44 : 17,294.90 = 5,694.20 : x
  2. Step 2: Convert to fraction form
    11,544.44/17,294.90 = 5,694.20/x
  3. Step 3: Cross multiply
    11,544.44x = 17,294.90 × 5,694.20
  4. Step 4: Simplify right side
    11,544.44x = 98,480,619.58
  5. Step 5: Solve for x
    x = 98,480,619.58/11,544.44
  6. Step 6: Final answer
    x = 8,530.57

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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.