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Finding the Fourth Proportional to 7,838.21, 11,757.99 and 2,571.64

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Solution

The fourth proportional to 7,838.21, 11,757.99 and 2,571.64 is: 3,857.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.21 : 11,757.99 = 2,571.64 : x
  2. Step 2: Convert to fraction form
    7,838.21/11,757.99 = 2,571.64/x
  3. Step 3: Cross multiply
    7,838.21x = 11,757.99 × 2,571.64
  4. Step 4: Simplify right side
    7,838.21x = 30,237,317.40
  5. Step 5: Solve for x
    x = 30,237,317.40/7,838.21
  6. Step 6: Final answer
    x = 3,857.68

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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.