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Finding the Fourth Proportional to 12,163.77, 16,786.10 and 7,128.14

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Solution

The fourth proportional to 12,163.77, 16,786.10 and 7,128.14 is: 9,836.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.77 : 16,786.10 = 7,128.14 : x
  2. Step 2: Convert to fraction form
    12,163.77/16,786.10 = 7,128.14/x
  3. Step 3: Cross multiply
    12,163.77x = 16,786.10 × 7,128.14
  4. Step 4: Simplify right side
    12,163.77x = 119,653,604.74
  5. Step 5: Solve for x
    x = 119,653,604.74/12,163.77
  6. Step 6: Final answer
    x = 9,836.88

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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.