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Finding the Fourth Proportional to 8,000.68, 12,002 and 4,297.83

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Solution

The fourth proportional to 8,000.68, 12,002 and 4,297.83 is: 6,447.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.68 : 12,002 = 4,297.83 : x
  2. Step 2: Convert to fraction form
    8,000.68/12,002 = 4,297.83/x
  3. Step 3: Cross multiply
    8,000.68x = 12,002 × 4,297.83
  4. Step 4: Simplify right side
    8,000.68x = 51,582,555.66
  5. Step 5: Solve for x
    x = 51,582,555.66/8,000.68
  6. Step 6: Final answer
    x = 6,447.27

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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.