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Finding the Fourth Proportional to 7,896.96, 11,846.40 and 2,704.32

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Solution

The fourth proportional to 7,896.96, 11,846.40 and 2,704.32 is: 4,056.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,896.96 : 11,846.40 = 2,704.32 : x
  2. Step 2: Convert to fraction form
    7,896.96/11,846.40 = 2,704.32/x
  3. Step 3: Cross multiply
    7,896.96x = 11,846.40 × 2,704.32
  4. Step 4: Simplify right side
    7,896.96x = 32,036,456.45
  5. Step 5: Solve for x
    x = 32,036,456.45/7,896.96
  6. Step 6: Final answer
    x = 4,056.81

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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.