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Finding the Fourth Proportional to 11,997.33, 17,996.00 and 4,206.15

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Solution

The fourth proportional to 11,997.33, 17,996.00 and 4,206.15 is: 6,309.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,997.33 : 17,996.00 = 4,206.15 : x
  2. Step 2: Convert to fraction form
    11,997.33/17,996.00 = 4,206.15/x
  3. Step 3: Cross multiply
    11,997.33x = 17,996.00 × 4,206.15
  4. Step 4: Simplify right side
    11,997.33x = 75,693,854.37
  5. Step 5: Solve for x
    x = 75,693,854.37/11,997.33
  6. Step 6: Final answer
    x = 6,309.23

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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.