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Finding the Fourth Proportional to 8,171.69, 11,275.44 and 5,338.31

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Solution

The fourth proportional to 8,171.69, 11,275.44 and 5,338.31 is: 7,365.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,171.69 : 11,275.44 = 5,338.31 : x
  2. Step 2: Convert to fraction form
    8,171.69/11,275.44 = 5,338.31/x
  3. Step 3: Cross multiply
    8,171.69x = 11,275.44 × 5,338.31
  4. Step 4: Simplify right side
    8,171.69x = 60,191,794.11
  5. Step 5: Solve for x
    x = 60,191,794.11/8,171.69
  6. Step 6: Final answer
    x = 7,365.89

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