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Finding the Fourth Proportional to 7,216.14, 10,825.06 and 2,833.03

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Solution

The fourth proportional to 7,216.14, 10,825.06 and 2,833.03 is: 4,249.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216.14 : 10,825.06 = 2,833.03 : x
  2. Step 2: Convert to fraction form
    7,216.14/10,825.06 = 2,833.03/x
  3. Step 3: Cross multiply
    7,216.14x = 10,825.06 × 2,833.03
  4. Step 4: Simplify right side
    7,216.14x = 30,667,719.73
  5. Step 5: Solve for x
    x = 30,667,719.73/7,216.14
  6. Step 6: Final answer
    x = 4,249.88

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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.