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Finding the Fourth Proportional to 6,136.86, 8,468.78 and 3,342.36

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Solution

The fourth proportional to 6,136.86, 8,468.78 and 3,342.36 is: 4,612.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.86 : 8,468.78 = 3,342.36 : x
  2. Step 2: Convert to fraction form
    6,136.86/8,468.78 = 3,342.36/x
  3. Step 3: Cross multiply
    6,136.86x = 8,468.78 × 3,342.36
  4. Step 4: Simplify right side
    6,136.86x = 28,305,711.52
  5. Step 5: Solve for x
    x = 28,305,711.52/6,136.86
  6. Step 6: Final answer
    x = 4,612.41

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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.