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Finding the Fourth Proportional to 11,996.51, 17,999.96 and 6,443.37

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Solution

The fourth proportional to 11,996.51, 17,999.96 and 6,443.37 is: 9,667.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,996.51 : 17,999.96 = 6,443.37 : x
  2. Step 2: Convert to fraction form
    11,996.51/17,999.96 = 6,443.37/x
  3. Step 3: Cross multiply
    11,996.51x = 17,999.96 × 6,443.37
  4. Step 4: Simplify right side
    11,996.51x = 115,980,370.05
  5. Step 5: Solve for x
    x = 115,980,370.05/11,996.51
  6. Step 6: Final answer
    x = 9,667.85

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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.