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Finding the Fourth Proportional to 6,136.23, 8,472.99 and 5,002.08

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Solution

The fourth proportional to 6,136.23, 8,472.99 and 5,002.08 is: 6,906.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.23 : 8,472.99 = 5,002.08 : x
  2. Step 2: Convert to fraction form
    6,136.23/8,472.99 = 5,002.08/x
  3. Step 3: Cross multiply
    6,136.23x = 8,472.99 × 5,002.08
  4. Step 4: Simplify right side
    6,136.23x = 42,382,577.60
  5. Step 5: Solve for x
    x = 42,382,577.60/6,136.23
  6. Step 6: Final answer
    x = 6,906.94

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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.