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Finding the Fourth Proportional to 12,086.27, 18,128.67 and 7,187.09

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Solution

The fourth proportional to 12,086.27, 18,128.67 and 7,187.09 is: 10,780.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.27 : 18,128.67 = 7,187.09 : x
  2. Step 2: Convert to fraction form
    12,086.27/18,128.67 = 7,187.09/x
  3. Step 3: Cross multiply
    12,086.27x = 18,128.67 × 7,187.09
  4. Step 4: Simplify right side
    12,086.27x = 130,292,382.87
  5. Step 5: Solve for x
    x = 130,292,382.87/12,086.27
  6. Step 6: Final answer
    x = 10,780.20

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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.