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Finding the Fourth Proportional to 7,163.69, 10,731.63 and 4,034.15

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Solution

The fourth proportional to 7,163.69, 10,731.63 and 4,034.15 is: 6,043.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,163.69 : 10,731.63 = 4,034.15 : x
  2. Step 2: Convert to fraction form
    7,163.69/10,731.63 = 4,034.15/x
  3. Step 3: Cross multiply
    7,163.69x = 10,731.63 × 4,034.15
  4. Step 4: Simplify right side
    7,163.69x = 43,293,005.16
  5. Step 5: Solve for x
    x = 43,293,005.16/7,163.69
  6. Step 6: Final answer
    x = 6,043.39

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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.