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Finding the Fourth Proportional to 11,918.87, 17,882.16 and 7,180.16

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Solution

The fourth proportional to 11,918.87, 17,882.16 and 7,180.16 is: 10,772.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.87 : 17,882.16 = 7,180.16 : x
  2. Step 2: Convert to fraction form
    11,918.87/17,882.16 = 7,180.16/x
  3. Step 3: Cross multiply
    11,918.87x = 17,882.16 × 7,180.16
  4. Step 4: Simplify right side
    11,918.87x = 128,396,734.04
  5. Step 5: Solve for x
    x = 128,396,734.04/11,918.87
  6. Step 6: Final answer
    x = 10,772.56

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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.