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Finding the Fourth Proportional to 8,182.56, 12,273.84 and 3,797.63

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Solution

The fourth proportional to 8,182.56, 12,273.84 and 3,797.63 is: 5,696.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.56 : 12,273.84 = 3,797.63 : x
  2. Step 2: Convert to fraction form
    8,182.56/12,273.84 = 3,797.63/x
  3. Step 3: Cross multiply
    8,182.56x = 12,273.84 × 3,797.63
  4. Step 4: Simplify right side
    8,182.56x = 46,611,441.63
  5. Step 5: Solve for x
    x = 46,611,441.63/8,182.56
  6. Step 6: Final answer
    x = 5,696.44

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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.