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Finding the Fourth Proportional to 7,843.24, 11,757.43 and 2,909.53

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Solution

The fourth proportional to 7,843.24, 11,757.43 and 2,909.53 is: 4,361.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,843.24 : 11,757.43 = 2,909.53 : x
  2. Step 2: Convert to fraction form
    7,843.24/11,757.43 = 2,909.53/x
  3. Step 3: Cross multiply
    7,843.24x = 11,757.43 × 2,909.53
  4. Step 4: Simplify right side
    7,843.24x = 34,208,595.31
  5. Step 5: Solve for x
    x = 34,208,595.31/7,843.24
  6. Step 6: Final answer
    x = 4,361.54

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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.