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Finding the Fourth Proportional to 10,115.75, 13,958.73 and 6,136.63

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Solution

The fourth proportional to 10,115.75, 13,958.73 and 6,136.63 is: 8,467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,115.75 : 13,958.73 = 6,136.63 : x
  2. Step 2: Convert to fraction form
    10,115.75/13,958.73 = 6,136.63/x
  3. Step 3: Cross multiply
    10,115.75x = 13,958.73 × 6,136.63
  4. Step 4: Simplify right side
    10,115.75x = 85,659,526.38
  5. Step 5: Solve for x
    x = 85,659,526.38/10,115.75
  6. Step 6: Final answer
    x = 8,467.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.