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Finding the Fourth Proportional to 7,162.28, 10,745.28 and 2,232

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Solution

The fourth proportional to 7,162.28, 10,745.28 and 2,232 is: 3,348.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.28 : 10,745.28 = 2,232 : x
  2. Step 2: Convert to fraction form
    7,162.28/10,745.28 = 2,232/x
  3. Step 3: Cross multiply
    7,162.28x = 10,745.28 × 2,232
  4. Step 4: Simplify right side
    7,162.28x = 23,983,464.96
  5. Step 5: Solve for x
    x = 23,983,464.96/7,162.28
  6. Step 6: Final answer
    x = 3,348.58

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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.