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Finding the Fourth Proportional to 11,896.82, 16,418.06 and 6,591.52

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Solution

The fourth proportional to 11,896.82, 16,418.06 and 6,591.52 is: 9,096.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.82 : 16,418.06 = 6,591.52 : x
  2. Step 2: Convert to fraction form
    11,896.82/16,418.06 = 6,591.52/x
  3. Step 3: Cross multiply
    11,896.82x = 16,418.06 × 6,591.52
  4. Step 4: Simplify right side
    11,896.82x = 108,219,970.85
  5. Step 5: Solve for x
    x = 108,219,970.85/11,896.82
  6. Step 6: Final answer
    x = 9,096.55

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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.