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Finding the Fourth Proportional to 11,896.14, 16,415.88 and 6,591.44

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Solution

The fourth proportional to 11,896.14, 16,415.88 and 6,591.44 is: 9,095.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.14 : 16,415.88 = 6,591.44 : x
  2. Step 2: Convert to fraction form
    11,896.14/16,415.88 = 6,591.44/x
  3. Step 3: Cross multiply
    11,896.14x = 16,415.88 × 6,591.44
  4. Step 4: Simplify right side
    11,896.14x = 108,204,288.07
  5. Step 5: Solve for x
    x = 108,204,288.07/11,896.14
  6. Step 6: Final answer
    x = 9,095.75

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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.