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Finding the Fourth Proportional to 11,550.96, 17,316 and 5,997.84

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Solution

The fourth proportional to 11,550.96, 17,316 and 5,997.84 is: 8,991.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,550.96 : 17,316 = 5,997.84 : x
  2. Step 2: Convert to fraction form
    11,550.96/17,316 = 5,997.84/x
  3. Step 3: Cross multiply
    11,550.96x = 17,316 × 5,997.84
  4. Step 4: Simplify right side
    11,550.96x = 103,858,597.44
  5. Step 5: Solve for x
    x = 103,858,597.44/11,550.96
  6. Step 6: Final answer
    x = 8,991.34

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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.