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Finding the Fourth Proportional to 11,893.83, 17,816.50 and 5,634.87

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Solution

The fourth proportional to 11,893.83, 17,816.50 and 5,634.87 is: 8,440.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.83 : 17,816.50 = 5,634.87 : x
  2. Step 2: Convert to fraction form
    11,893.83/17,816.50 = 5,634.87/x
  3. Step 3: Cross multiply
    11,893.83x = 17,816.50 × 5,634.87
  4. Step 4: Simplify right side
    11,893.83x = 100,393,661.36
  5. Step 5: Solve for x
    x = 100,393,661.36/11,893.83
  6. Step 6: Final answer
    x = 8,440.82

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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.