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Finding the Fourth Proportional to 11,789.84, 16,270.17 and 6,754.50

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Solution

The fourth proportional to 11,789.84, 16,270.17 and 6,754.50 is: 9,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,789.84 : 16,270.17 = 6,754.50 : x
  2. Step 2: Convert to fraction form
    11,789.84/16,270.17 = 6,754.50/x
  3. Step 3: Cross multiply
    11,789.84x = 16,270.17 × 6,754.50
  4. Step 4: Simplify right side
    11,789.84x = 109,896,863.27
  5. Step 5: Solve for x
    x = 109,896,863.27/11,789.84
  6. Step 6: Final answer
    x = 9,321.32

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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.