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Finding the Fourth Proportional to 7,213.65, 10,792 and 5,463.69

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Solution

The fourth proportional to 7,213.65, 10,792 and 5,463.69 is: 8,173.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.65 : 10,792 = 5,463.69 : x
  2. Step 2: Convert to fraction form
    7,213.65/10,792 = 5,463.69/x
  3. Step 3: Cross multiply
    7,213.65x = 10,792 × 5,463.69
  4. Step 4: Simplify right side
    7,213.65x = 58,964,142.48
  5. Step 5: Solve for x
    x = 58,964,142.48/7,213.65
  6. Step 6: Final answer
    x = 8,173.97

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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.