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Finding the Fourth Proportional to 7,163.82, 10,731.81 and 4,034.28

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Solution

The fourth proportional to 7,163.82, 10,731.81 and 4,034.28 is: 6,043.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.82 : 10,731.81 = 4,034.28 : x
  2. Step 2: Convert to fraction form
    7,163.82/10,731.81 = 4,034.28/x
  3. Step 3: Cross multiply
    7,163.82x = 10,731.81 × 4,034.28
  4. Step 4: Simplify right side
    7,163.82x = 43,295,126.45
  5. Step 5: Solve for x
    x = 43,295,126.45/7,163.82
  6. Step 6: Final answer
    x = 6,043.58

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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.