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Finding the Fourth Proportional to 11,896.32, 16,409.31 and 7,645.94

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Solution

The fourth proportional to 11,896.32, 16,409.31 and 7,645.94 is: 10,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.32 : 16,409.31 = 7,645.94 : x
  2. Step 2: Convert to fraction form
    11,896.32/16,409.31 = 7,645.94/x
  3. Step 3: Cross multiply
    11,896.32x = 16,409.31 × 7,645.94
  4. Step 4: Simplify right side
    11,896.32x = 125,464,517.65
  5. Step 5: Solve for x
    x = 125,464,517.65/11,896.32
  6. Step 6: Final answer
    x = 10,546.50

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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.