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Finding the Fourth Proportional to 8,166.44, 12,215.37 and 6,882.95

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Solution

The fourth proportional to 8,166.44, 12,215.37 and 6,882.95 is: 10,295.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,166.44 : 12,215.37 = 6,882.95 : x
  2. Step 2: Convert to fraction form
    8,166.44/12,215.37 = 6,882.95/x
  3. Step 3: Cross multiply
    8,166.44x = 12,215.37 × 6,882.95
  4. Step 4: Simplify right side
    8,166.44x = 84,077,719.86
  5. Step 5: Solve for x
    x = 84,077,719.86/8,166.44
  6. Step 6: Final answer
    x = 10,295.52

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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.