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Finding the Fourth Proportional to 10,826.44, 16,172.81 and 7,839.21

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Solution

The fourth proportional to 10,826.44, 16,172.81 and 7,839.21 is: 11,710.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,826.44 : 16,172.81 = 7,839.21 : x
  2. Step 2: Convert to fraction form
    10,826.44/16,172.81 = 7,839.21/x
  3. Step 3: Cross multiply
    10,826.44x = 16,172.81 × 7,839.21
  4. Step 4: Simplify right side
    10,826.44x = 126,782,053.88
  5. Step 5: Solve for x
    x = 126,782,053.88/10,826.44
  6. Step 6: Final answer
    x = 11,710.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.