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Finding the Fourth Proportional to 7,857.30, 11,787.69 and 2,593.94

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Solution

The fourth proportional to 7,857.30, 11,787.69 and 2,593.94 is: 3,891.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,857.30 : 11,787.69 = 2,593.94 : x
  2. Step 2: Convert to fraction form
    7,857.30/11,787.69 = 2,593.94/x
  3. Step 3: Cross multiply
    7,857.30x = 11,787.69 × 2,593.94
  4. Step 4: Simplify right side
    7,857.30x = 30,576,560.60
  5. Step 5: Solve for x
    x = 30,576,560.60/7,857.30
  6. Step 6: Final answer
    x = 3,891.48

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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.