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Finding the Fourth Proportional to 7,216.92, 10,825.38 and 2,022.84

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Solution

The fourth proportional to 7,216.92, 10,825.38 and 2,022.84 is: 3,034.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216.92 : 10,825.38 = 2,022.84 : x
  2. Step 2: Convert to fraction form
    7,216.92/10,825.38 = 2,022.84/x
  3. Step 3: Cross multiply
    7,216.92x = 10,825.38 × 2,022.84
  4. Step 4: Simplify right side
    7,216.92x = 21,898,011.68
  5. Step 5: Solve for x
    x = 21,898,011.68/7,216.92
  6. Step 6: Final answer
    x = 3,034.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.