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Finding the Fourth Proportional to 7,711.48, 11,571.27 and 4,204

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Solution

The fourth proportional to 7,711.48, 11,571.27 and 4,204 is: 6,308.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.48 : 11,571.27 = 4,204 : x
  2. Step 2: Convert to fraction form
    7,711.48/11,571.27 = 4,204/x
  3. Step 3: Cross multiply
    7,711.48x = 11,571.27 × 4,204
  4. Step 4: Simplify right side
    7,711.48x = 48,645,619.08
  5. Step 5: Solve for x
    x = 48,645,619.08/7,711.48
  6. Step 6: Final answer
    x = 6,308.21

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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.