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Finding the Fourth Proportional to 11,998.76, 17,986.62 and 3,785

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Solution

The fourth proportional to 11,998.76, 17,986.62 and 3,785 is: 5,673.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,998.76 : 17,986.62 = 3,785 : x
  2. Step 2: Convert to fraction form
    11,998.76/17,986.62 = 3,785/x
  3. Step 3: Cross multiply
    11,998.76x = 17,986.62 × 3,785
  4. Step 4: Simplify right side
    11,998.76x = 68,079,356.70
  5. Step 5: Solve for x
    x = 68,079,356.70/11,998.76
  6. Step 6: Final answer
    x = 5,673.87

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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.