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Finding the Fourth Proportional to 7,493.72, 10,340.66 and 4,136.27

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Solution

The fourth proportional to 7,493.72, 10,340.66 and 4,136.27 is: 5,707.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493.72 : 10,340.66 = 4,136.27 : x
  2. Step 2: Convert to fraction form
    7,493.72/10,340.66 = 4,136.27/x
  3. Step 3: Cross multiply
    7,493.72x = 10,340.66 × 4,136.27
  4. Step 4: Simplify right side
    7,493.72x = 42,771,720.38
  5. Step 5: Solve for x
    x = 42,771,720.38/7,493.72
  6. Step 6: Final answer
    x = 5,707.68

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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.