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Finding the Fourth Proportional to 11,772.96, 16,241.99 and 6,736.20

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Solution

The fourth proportional to 11,772.96, 16,241.99 and 6,736.20 is: 9,293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.96 : 16,241.99 = 6,736.20 : x
  2. Step 2: Convert to fraction form
    11,772.96/16,241.99 = 6,736.20/x
  3. Step 3: Cross multiply
    11,772.96x = 16,241.99 × 6,736.20
  4. Step 4: Simplify right side
    11,772.96x = 109,409,259.36
  5. Step 5: Solve for x
    x = 109,409,259.36/11,772.96
  6. Step 6: Final answer
    x = 9,293.27

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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.