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Finding the Fourth Proportional to 6,136.27, 8,473.05 and 5,002.12

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Solution

The fourth proportional to 6,136.27, 8,473.05 and 5,002.12 is: 6,906.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.27 : 8,473.05 = 5,002.12 : x
  2. Step 2: Convert to fraction form
    6,136.27/8,473.05 = 5,002.12/x
  3. Step 3: Cross multiply
    6,136.27x = 8,473.05 × 5,002.12
  4. Step 4: Simplify right side
    6,136.27x = 42,383,179.18
  5. Step 5: Solve for x
    x = 42,383,179.18/6,136.27
  6. Step 6: Final answer
    x = 6,906.99

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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.