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Finding the Fourth Proportional to 8,686.28, 13,028.16 and 2,843.12

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Solution

The fourth proportional to 8,686.28, 13,028.16 and 2,843.12 is: 4,264.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.28 : 13,028.16 = 2,843.12 : x
  2. Step 2: Convert to fraction form
    8,686.28/13,028.16 = 2,843.12/x
  3. Step 3: Cross multiply
    8,686.28x = 13,028.16 × 2,843.12
  4. Step 4: Simplify right side
    8,686.28x = 37,040,622.26
  5. Step 5: Solve for x
    x = 37,040,622.26/8,686.28
  6. Step 6: Final answer
    x = 4,264.27

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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.