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Finding the Fourth Proportional to 7,858.43, 11,787.91 and 2,593.56

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Solution

The fourth proportional to 7,858.43, 11,787.91 and 2,593.56 is: 3,890.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.43 : 11,787.91 = 2,593.56 : x
  2. Step 2: Convert to fraction form
    7,858.43/11,787.91 = 2,593.56/x
  3. Step 3: Cross multiply
    7,858.43x = 11,787.91 × 2,593.56
  4. Step 4: Simplify right side
    7,858.43x = 30,572,645.38
  5. Step 5: Solve for x
    x = 30,572,645.38/7,858.43
  6. Step 6: Final answer
    x = 3,890.43

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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.