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Finding the Fourth Proportional to 6,136.62, 8,468.53 and 3,342.14

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Solution

The fourth proportional to 6,136.62, 8,468.53 and 3,342.14 is: 4,612.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.62 : 8,468.53 = 3,342.14 : x
  2. Step 2: Convert to fraction form
    6,136.62/8,468.53 = 3,342.14/x
  3. Step 3: Cross multiply
    6,136.62x = 8,468.53 × 3,342.14
  4. Step 4: Simplify right side
    6,136.62x = 28,303,012.85
  5. Step 5: Solve for x
    x = 28,303,012.85/6,136.62
  6. Step 6: Final answer
    x = 4,612.15

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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.