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Finding the Fourth Proportional to 11,500.96, 17,243.47 and 5,867.69

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Solution

The fourth proportional to 11,500.96, 17,243.47 and 5,867.69 is: 8,797.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.96 : 17,243.47 = 5,867.69 : x
  2. Step 2: Convert to fraction form
    11,500.96/17,243.47 = 5,867.69/x
  3. Step 3: Cross multiply
    11,500.96x = 17,243.47 × 5,867.69
  4. Step 4: Simplify right side
    11,500.96x = 101,179,336.48
  5. Step 5: Solve for x
    x = 101,179,336.48/11,500.96
  6. Step 6: Final answer
    x = 8,797.47

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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.