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Finding the Fourth Proportional to 11,893.77, 17,816.42 and 5,634.81

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Solution

The fourth proportional to 11,893.77, 17,816.42 and 5,634.81 is: 8,440.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.77 : 17,816.42 = 5,634.81 : x
  2. Step 2: Convert to fraction form
    11,893.77/17,816.42 = 5,634.81/x
  3. Step 3: Cross multiply
    11,893.77x = 17,816.42 × 5,634.81
  4. Step 4: Simplify right side
    11,893.77x = 100,392,113.41
  5. Step 5: Solve for x
    x = 100,392,113.41/11,893.77
  6. Step 6: Final answer
    x = 8,440.73

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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.