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Finding the Fourth Proportional to 11,660.52, 16,087.50 and 8,122.44

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Solution

The fourth proportional to 11,660.52, 16,087.50 and 8,122.44 is: 11,206.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.52 : 16,087.50 = 8,122.44 : x
  2. Step 2: Convert to fraction form
    11,660.52/16,087.50 = 8,122.44/x
  3. Step 3: Cross multiply
    11,660.52x = 16,087.50 × 8,122.44
  4. Step 4: Simplify right side
    11,660.52x = 130,669,753.50
  5. Step 5: Solve for x
    x = 130,669,753.50/11,660.52
  6. Step 6: Final answer
    x = 11,206.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.