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Finding the Fourth Proportional to 8,063.35, 12,097.84 and 3,136.44

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Solution

The fourth proportional to 8,063.35, 12,097.84 and 3,136.44 is: 4,705.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,063.35 : 12,097.84 = 3,136.44 : x
  2. Step 2: Convert to fraction form
    8,063.35/12,097.84 = 3,136.44/x
  3. Step 3: Cross multiply
    8,063.35x = 12,097.84 × 3,136.44
  4. Step 4: Simplify right side
    8,063.35x = 37,944,124.65
  5. Step 5: Solve for x
    x = 37,944,124.65/8,063.35
  6. Step 6: Final answer
    x = 4,705.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.