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Finding the Fourth Proportional to 10,375.65, 15,557.19 and 4,136.61

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Solution

The fourth proportional to 10,375.65, 15,557.19 and 4,136.61 is: 6,202.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.65 : 15,557.19 = 4,136.61 : x
  2. Step 2: Convert to fraction form
    10,375.65/15,557.19 = 4,136.61/x
  3. Step 3: Cross multiply
    10,375.65x = 15,557.19 × 4,136.61
  4. Step 4: Simplify right side
    10,375.65x = 64,354,027.73
  5. Step 5: Solve for x
    x = 64,354,027.73/10,375.65
  6. Step 6: Final answer
    x = 6,202.41

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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.