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Finding the Fourth Proportional to 6,136.80, 8,512.17 and 5,915.40

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Solution

The fourth proportional to 6,136.80, 8,512.17 and 5,915.40 is: 8,205.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.80 : 8,512.17 = 5,915.40 : x
  2. Step 2: Convert to fraction form
    6,136.80/8,512.17 = 5,915.40/x
  3. Step 3: Cross multiply
    6,136.80x = 8,512.17 × 5,915.40
  4. Step 4: Simplify right side
    6,136.80x = 50,352,890.42
  5. Step 5: Solve for x
    x = 50,352,890.42/6,136.80
  6. Step 6: Final answer
    x = 8,205.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.