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Finding the Fourth Proportional to 8,003.90, 11,996.01 and 5,664.57

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Solution

The fourth proportional to 8,003.90, 11,996.01 and 5,664.57 is: 8,489.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.90 : 11,996.01 = 5,664.57 : x
  2. Step 2: Convert to fraction form
    8,003.90/11,996.01 = 5,664.57/x
  3. Step 3: Cross multiply
    8,003.90x = 11,996.01 × 5,664.57
  4. Step 4: Simplify right side
    8,003.90x = 67,952,150.06
  5. Step 5: Solve for x
    x = 67,952,150.06/8,003.90
  6. Step 6: Final answer
    x = 8,489.89

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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.