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Finding the Fourth Proportional to 6,168.26, 8,513.72 and 3,777.80

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Solution

The fourth proportional to 6,168.26, 8,513.72 and 3,777.80 is: 5,214.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168.26 : 8,513.72 = 3,777.80 : x
  2. Step 2: Convert to fraction form
    6,168.26/8,513.72 = 3,777.80/x
  3. Step 3: Cross multiply
    6,168.26x = 8,513.72 × 3,777.80
  4. Step 4: Simplify right side
    6,168.26x = 32,163,069.96
  5. Step 5: Solve for x
    x = 32,163,069.96/6,168.26
  6. Step 6: Final answer
    x = 5,214.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.