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Finding the Fourth Proportional to 8,018.28, 12,029.82 and 2,824.14

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Solution

The fourth proportional to 8,018.28, 12,029.82 and 2,824.14 is: 4,237.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,018.28 : 12,029.82 = 2,824.14 : x
  2. Step 2: Convert to fraction form
    8,018.28/12,029.82 = 2,824.14/x
  3. Step 3: Cross multiply
    8,018.28x = 12,029.82 × 2,824.14
  4. Step 4: Simplify right side
    8,018.28x = 33,973,895.85
  5. Step 5: Solve for x
    x = 33,973,895.85/8,018.28
  6. Step 6: Final answer
    x = 4,237.06

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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.