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Finding the Fourth Proportional to 7,204.77, 10,812.01 and 2,821.68

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Solution

The fourth proportional to 7,204.77, 10,812.01 and 2,821.68 is: 4,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,204.77 : 10,812.01 = 2,821.68 : x
  2. Step 2: Convert to fraction form
    7,204.77/10,812.01 = 2,821.68/x
  3. Step 3: Cross multiply
    7,204.77x = 10,812.01 × 2,821.68
  4. Step 4: Simplify right side
    7,204.77x = 30,508,032.38
  5. Step 5: Solve for x
    x = 30,508,032.38/7,204.77
  6. Step 6: Final answer
    x = 4,234.42

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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.