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Finding the Fourth Proportional to 7,216.97, 10,825.86 and 2,023.25

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Solution

The fourth proportional to 7,216.97, 10,825.86 and 2,023.25 is: 3,034.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,216.97 : 10,825.86 = 2,023.25 : x
  2. Step 2: Convert to fraction form
    7,216.97/10,825.86 = 2,023.25/x
  3. Step 3: Cross multiply
    7,216.97x = 10,825.86 × 2,023.25
  4. Step 4: Simplify right side
    7,216.97x = 21,903,367.12
  5. Step 5: Solve for x
    x = 21,903,367.12/7,216.97
  6. Step 6: Final answer
    x = 3,034.98

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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.