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Finding the Fourth Proportional to 11,958.26, 16,505.24 and 7,241.63

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Solution

The fourth proportional to 11,958.26, 16,505.24 and 7,241.63 is: 9,995.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,958.26 : 16,505.24 = 7,241.63 : x
  2. Step 2: Convert to fraction form
    11,958.26/16,505.24 = 7,241.63/x
  3. Step 3: Cross multiply
    11,958.26x = 16,505.24 × 7,241.63
  4. Step 4: Simplify right side
    11,958.26x = 119,524,722.41
  5. Step 5: Solve for x
    x = 119,524,722.41/11,958.26
  6. Step 6: Final answer
    x = 9,995.16

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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.