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Finding the Fourth Proportional to 11,896.33, 16,394.34 and 8,533.32

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Solution

The fourth proportional to 11,896.33, 16,394.34 and 8,533.32 is: 11,759.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.33 : 16,394.34 = 8,533.32 : x
  2. Step 2: Convert to fraction form
    11,896.33/16,394.34 = 8,533.32/x
  3. Step 3: Cross multiply
    11,896.33x = 16,394.34 × 8,533.32
  4. Step 4: Simplify right side
    11,896.33x = 139,898,198.26
  5. Step 5: Solve for x
    x = 139,898,198.26/11,896.33
  6. Step 6: Final answer
    x = 11,759.78

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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.