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Finding the Fourth Proportional to 8,002.20, 12,007.62 and 3,622.80

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Solution

The fourth proportional to 8,002.20, 12,007.62 and 3,622.80 is: 5,436.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.20 : 12,007.62 = 3,622.80 : x
  2. Step 2: Convert to fraction form
    8,002.20/12,007.62 = 3,622.80/x
  3. Step 3: Cross multiply
    8,002.20x = 12,007.62 × 3,622.80
  4. Step 4: Simplify right side
    8,002.20x = 43,501,205.74
  5. Step 5: Solve for x
    x = 43,501,205.74/8,002.20
  6. Step 6: Final answer
    x = 5,436.16

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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.