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Finding the Fourth Proportional to 8,255.12, 12,382.80 and 3,061

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Solution

The fourth proportional to 8,255.12, 12,382.80 and 3,061 is: 4,591.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,255.12 : 12,382.80 = 3,061 : x
  2. Step 2: Convert to fraction form
    8,255.12/12,382.80 = 3,061/x
  3. Step 3: Cross multiply
    8,255.12x = 12,382.80 × 3,061
  4. Step 4: Simplify right side
    8,255.12x = 37,903,750.80
  5. Step 5: Solve for x
    x = 37,903,750.80/8,255.12
  6. Step 6: Final answer
    x = 4,591.54

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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.