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Finding the Fourth Proportional to 8,122.82, 12,167.22 and 5,186.17

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Solution

The fourth proportional to 8,122.82, 12,167.22 and 5,186.17 is: 7,768.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,122.82 : 12,167.22 = 5,186.17 : x
  2. Step 2: Convert to fraction form
    8,122.82/12,167.22 = 5,186.17/x
  3. Step 3: Cross multiply
    8,122.82x = 12,167.22 × 5,186.17
  4. Step 4: Simplify right side
    8,122.82x = 63,101,210.51
  5. Step 5: Solve for x
    x = 63,101,210.51/8,122.82
  6. Step 6: Final answer
    x = 7,768.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.