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Finding the Fourth Proportional to 11,783.98, 17,640.89 and 7,611.82

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Solution

The fourth proportional to 11,783.98, 17,640.89 and 7,611.82 is: 11,395.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.98 : 17,640.89 = 7,611.82 : x
  2. Step 2: Convert to fraction form
    11,783.98/17,640.89 = 7,611.82/x
  3. Step 3: Cross multiply
    11,783.98x = 17,640.89 × 7,611.82
  4. Step 4: Simplify right side
    11,783.98x = 134,279,324.93
  5. Step 5: Solve for x
    x = 134,279,324.93/11,783.98
  6. Step 6: Final answer
    x = 11,395.07

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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.