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Finding the Fourth Proportional to 8,001.91, 12,004.50 and 2,811.43

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Solution

The fourth proportional to 8,001.91, 12,004.50 and 2,811.43 is: 4,217.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.91 : 12,004.50 = 2,811.43 : x
  2. Step 2: Convert to fraction form
    8,001.91/12,004.50 = 2,811.43/x
  3. Step 3: Cross multiply
    8,001.91x = 12,004.50 × 2,811.43
  4. Step 4: Simplify right side
    8,001.91x = 33,749,811.44
  5. Step 5: Solve for x
    x = 33,749,811.44/8,001.91
  6. Step 6: Final answer
    x = 4,217.72

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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.