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Finding the Fourth Proportional to 8,131.53, 12,190.80 and 3,200.25

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Solution

The fourth proportional to 8,131.53, 12,190.80 and 3,200.25 is: 4,797.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,131.53 : 12,190.80 = 3,200.25 : x
  2. Step 2: Convert to fraction form
    8,131.53/12,190.80 = 3,200.25/x
  3. Step 3: Cross multiply
    8,131.53x = 12,190.80 × 3,200.25
  4. Step 4: Simplify right side
    8,131.53x = 39,013,607.70
  5. Step 5: Solve for x
    x = 39,013,607.70/8,131.53
  6. Step 6: Final answer
    x = 4,797.82

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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.