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Finding the Fourth Proportional to 7,893.44, 11,828.86 and 5,797

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Solution

The fourth proportional to 7,893.44, 11,828.86 and 5,797 is: 8,687.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,893.44 : 11,828.86 = 5,797 : x
  2. Step 2: Convert to fraction form
    7,893.44/11,828.86 = 5,797/x
  3. Step 3: Cross multiply
    7,893.44x = 11,828.86 × 5,797
  4. Step 4: Simplify right side
    7,893.44x = 68,571,901.42
  5. Step 5: Solve for x
    x = 68,571,901.42/7,893.44
  6. Step 6: Final answer
    x = 8,687.20

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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.