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Finding the Fourth Proportional to 8,194.49, 12,291.75 and 3,511.47

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Solution

The fourth proportional to 8,194.49, 12,291.75 and 3,511.47 is: 5,267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.49 : 12,291.75 = 3,511.47 : x
  2. Step 2: Convert to fraction form
    8,194.49/12,291.75 = 3,511.47/x
  3. Step 3: Cross multiply
    8,194.49x = 12,291.75 × 3,511.47
  4. Step 4: Simplify right side
    8,194.49x = 43,162,049.91
  5. Step 5: Solve for x
    x = 43,162,049.91/8,194.49
  6. Step 6: Final answer
    x = 5,267.20

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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.