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Finding the Fourth Proportional to 8,004.74, 11,997.39 and 5,665.43

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Solution

The fourth proportional to 8,004.74, 11,997.39 and 5,665.43 is: 8,491.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.74 : 11,997.39 = 5,665.43 : x
  2. Step 2: Convert to fraction form
    8,004.74/11,997.39 = 5,665.43/x
  3. Step 3: Cross multiply
    8,004.74x = 11,997.39 × 5,665.43
  4. Step 4: Simplify right side
    8,004.74x = 67,970,373.23
  5. Step 5: Solve for x
    x = 67,970,373.23/8,004.74
  6. Step 6: Final answer
    x = 8,491.26

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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.