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Finding the Fourth Proportional to 11,131.94, 16,696.75 and 5,864.83

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Solution

The fourth proportional to 11,131.94, 16,696.75 and 5,864.83 is: 8,796.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,131.94 : 16,696.75 = 5,864.83 : x
  2. Step 2: Convert to fraction form
    11,131.94/16,696.75 = 5,864.83/x
  3. Step 3: Cross multiply
    11,131.94x = 16,696.75 × 5,864.83
  4. Step 4: Simplify right side
    11,131.94x = 97,923,626.82
  5. Step 5: Solve for x
    x = 97,923,626.82/11,131.94
  6. Step 6: Final answer
    x = 8,796.63

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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.