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Finding the Fourth Proportional to 10,704.49, 14,786.31 and 8,217.33

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Solution

The fourth proportional to 10,704.49, 14,786.31 and 8,217.33 is: 11,350.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.49 : 14,786.31 = 8,217.33 : x
  2. Step 2: Convert to fraction form
    10,704.49/14,786.31 = 8,217.33/x
  3. Step 3: Cross multiply
    10,704.49x = 14,786.31 × 8,217.33
  4. Step 4: Simplify right side
    10,704.49x = 121,504,024.18
  5. Step 5: Solve for x
    x = 121,504,024.18/10,704.49
  6. Step 6: Final answer
    x = 11,350.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.