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Finding the Fourth Proportional to 10,896.12, 16,342.56 and 3,969

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Solution

The fourth proportional to 10,896.12, 16,342.56 and 3,969 is: 5,952.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896.12 : 16,342.56 = 3,969 : x
  2. Step 2: Convert to fraction form
    10,896.12/16,342.56 = 3,969/x
  3. Step 3: Cross multiply
    10,896.12x = 16,342.56 × 3,969
  4. Step 4: Simplify right side
    10,896.12x = 64,863,620.64
  5. Step 5: Solve for x
    x = 64,863,620.64/10,896.12
  6. Step 6: Final answer
    x = 5,952.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.