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Finding the Fourth Proportional to 7,162.97, 9,889.71 and 5,481.38

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Solution

The fourth proportional to 7,162.97, 9,889.71 and 5,481.38 is: 7,567.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.97 : 9,889.71 = 5,481.38 : x
  2. Step 2: Convert to fraction form
    7,162.97/9,889.71 = 5,481.38/x
  3. Step 3: Cross multiply
    7,162.97x = 9,889.71 × 5,481.38
  4. Step 4: Simplify right side
    7,162.97x = 54,209,209.15
  5. Step 5: Solve for x
    x = 54,209,209.15/7,162.97
  6. Step 6: Final answer
    x = 7,567.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.