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Finding the Fourth Proportional to 8,019, 12,029.72 and 2,824.88

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Solution

The fourth proportional to 8,019, 12,029.72 and 2,824.88 is: 4,237.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019 : 12,029.72 = 2,824.88 : x
  2. Step 2: Convert to fraction form
    8,019/12,029.72 = 2,824.88/x
  3. Step 3: Cross multiply
    8,019x = 12,029.72 × 2,824.88
  4. Step 4: Simplify right side
    8,019x = 33,982,441.16
  5. Step 5: Solve for x
    x = 33,982,441.16/8,019
  6. Step 6: Final answer
    x = 4,237.74

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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.