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Finding the Fourth Proportional to 11,161.68, 16,724.40 and 5,896.44

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Solution

The fourth proportional to 11,161.68, 16,724.40 and 5,896.44 is: 8,835.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,161.68 : 16,724.40 = 5,896.44 : x
  2. Step 2: Convert to fraction form
    11,161.68/16,724.40 = 5,896.44/x
  3. Step 3: Cross multiply
    11,161.68x = 16,724.40 × 5,896.44
  4. Step 4: Simplify right side
    11,161.68x = 98,614,421.14
  5. Step 5: Solve for x
    x = 98,614,421.14/11,161.68
  6. Step 6: Final answer
    x = 8,835.09

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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.