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Finding the Fourth Proportional to 8,000.22, 11,979.82 and 5,917.10

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Solution

The fourth proportional to 8,000.22, 11,979.82 and 5,917.10 is: 8,860.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.22 : 11,979.82 = 5,917.10 : x
  2. Step 2: Convert to fraction form
    8,000.22/11,979.82 = 5,917.10/x
  3. Step 3: Cross multiply
    8,000.22x = 11,979.82 × 5,917.10
  4. Step 4: Simplify right side
    8,000.22x = 70,885,792.92
  5. Step 5: Solve for x
    x = 70,885,792.92/8,000.22
  6. Step 6: Final answer
    x = 8,860.48

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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.