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Finding the Fourth Proportional to 11,967.15, 17,923.42 and 5,731.57

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Solution

The fourth proportional to 11,967.15, 17,923.42 and 5,731.57 is: 8,584.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,967.15 : 17,923.42 = 5,731.57 : x
  2. Step 2: Convert to fraction form
    11,967.15/17,923.42 = 5,731.57/x
  3. Step 3: Cross multiply
    11,967.15x = 17,923.42 × 5,731.57
  4. Step 4: Simplify right side
    11,967.15x = 102,729,336.37
  5. Step 5: Solve for x
    x = 102,729,336.37/11,967.15
  6. Step 6: Final answer
    x = 8,584.28

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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.