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Finding the Fourth Proportional to 8,378.76, 12,571.07 and 5,255.07

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Solution

The fourth proportional to 8,378.76, 12,571.07 and 5,255.07 is: 7,884.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.76 : 12,571.07 = 5,255.07 : x
  2. Step 2: Convert to fraction form
    8,378.76/12,571.07 = 5,255.07/x
  3. Step 3: Cross multiply
    8,378.76x = 12,571.07 × 5,255.07
  4. Step 4: Simplify right side
    8,378.76x = 66,061,850.12
  5. Step 5: Solve for x
    x = 66,061,850.12/8,378.76
  6. Step 6: Final answer
    x = 7,884.44

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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.