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Finding the Fourth Proportional to 6,136.20, 8,420.85 and 5,747.40

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Solution

The fourth proportional to 6,136.20, 8,420.85 and 5,747.40 is: 7,887.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.20 : 8,420.85 = 5,747.40 : x
  2. Step 2: Convert to fraction form
    6,136.20/8,420.85 = 5,747.40/x
  3. Step 3: Cross multiply
    6,136.20x = 8,420.85 × 5,747.40
  4. Step 4: Simplify right side
    6,136.20x = 48,397,993.29
  5. Step 5: Solve for x
    x = 48,397,993.29/6,136.20
  6. Step 6: Final answer
    x = 7,887.29

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.