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Finding the Fourth Proportional to 8,210.82, 11,332.26 and 5,067.22

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Solution

The fourth proportional to 8,210.82, 11,332.26 and 5,067.22 is: 6,993.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,210.82 : 11,332.26 = 5,067.22 : x
  2. Step 2: Convert to fraction form
    8,210.82/11,332.26 = 5,067.22/x
  3. Step 3: Cross multiply
    8,210.82x = 11,332.26 × 5,067.22
  4. Step 4: Simplify right side
    8,210.82x = 57,423,054.52
  5. Step 5: Solve for x
    x = 57,423,054.52/8,210.82
  6. Step 6: Final answer
    x = 6,993.58

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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.