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Finding the Fourth Proportional to 8,548.36, 12,820.20 and 3,617.80

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Solution

The fourth proportional to 8,548.36, 12,820.20 and 3,617.80 is: 5,425.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.36 : 12,820.20 = 3,617.80 : x
  2. Step 2: Convert to fraction form
    8,548.36/12,820.20 = 3,617.80/x
  3. Step 3: Cross multiply
    8,548.36x = 12,820.20 × 3,617.80
  4. Step 4: Simplify right side
    8,548.36x = 46,380,919.56
  5. Step 5: Solve for x
    x = 46,380,919.56/8,548.36
  6. Step 6: Final answer
    x = 5,425.71

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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.