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Finding the Fourth Proportional to 8,019, 12,025.42 and 2,753.03

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Solution

The fourth proportional to 8,019, 12,025.42 and 2,753.03 is: 4,128.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,019 : 12,025.42 = 2,753.03 : x
  2. Step 2: Convert to fraction form
    8,019/12,025.42 = 2,753.03/x
  3. Step 3: Cross multiply
    8,019x = 12,025.42 × 2,753.03
  4. Step 4: Simplify right side
    8,019x = 33,106,281.90
  5. Step 5: Solve for x
    x = 33,106,281.90/8,019
  6. Step 6: Final answer
    x = 4,128.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.