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Finding the Fourth Proportional to 11,803.25, 17,715.82 and 5,963.96

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Solution

The fourth proportional to 11,803.25, 17,715.82 and 5,963.96 is: 8,951.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,803.25 : 17,715.82 = 5,963.96 : x
  2. Step 2: Convert to fraction form
    11,803.25/17,715.82 = 5,963.96/x
  3. Step 3: Cross multiply
    11,803.25x = 17,715.82 × 5,963.96
  4. Step 4: Simplify right side
    11,803.25x = 105,656,323.45
  5. Step 5: Solve for x
    x = 105,656,323.45/11,803.25
  6. Step 6: Final answer
    x = 8,951.46

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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.