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Finding the Fourth Proportional to 11,891.18, 17,847.84 and 6,052.16

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Solution

The fourth proportional to 11,891.18, 17,847.84 and 6,052.16 is: 9,083.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.18 : 17,847.84 = 6,052.16 : x
  2. Step 2: Convert to fraction form
    11,891.18/17,847.84 = 6,052.16/x
  3. Step 3: Cross multiply
    11,891.18x = 17,847.84 × 6,052.16
  4. Step 4: Simplify right side
    11,891.18x = 108,017,983.33
  5. Step 5: Solve for x
    x = 108,017,983.33/11,891.18
  6. Step 6: Final answer
    x = 9,083.87

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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.