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Finding the Fourth Proportional to 10,204.44, 15,294.36 and 8,863.44

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Solution

The fourth proportional to 10,204.44, 15,294.36 and 8,863.44 is: 13,284.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,204.44 : 15,294.36 = 8,863.44 : x
  2. Step 2: Convert to fraction form
    10,204.44/15,294.36 = 8,863.44/x
  3. Step 3: Cross multiply
    10,204.44x = 15,294.36 × 8,863.44
  4. Step 4: Simplify right side
    10,204.44x = 135,560,642.20
  5. Step 5: Solve for x
    x = 135,560,642.20/10,204.44
  6. Step 6: Final answer
    x = 13,284.48

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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.