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Finding the Fourth Proportional to 11,773.96, 16,249.62 and 7,594.36

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Solution

The fourth proportional to 11,773.96, 16,249.62 and 7,594.36 is: 10,481.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.96 : 16,249.62 = 7,594.36 : x
  2. Step 2: Convert to fraction form
    11,773.96/16,249.62 = 7,594.36/x
  3. Step 3: Cross multiply
    11,773.96x = 16,249.62 × 7,594.36
  4. Step 4: Simplify right side
    11,773.96x = 123,405,464.14
  5. Step 5: Solve for x
    x = 123,405,464.14/11,773.96
  6. Step 6: Final answer
    x = 10,481.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.