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Finding the Fourth Proportional to 8,141.64, 12,212.82 and 3,456.96

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Solution

The fourth proportional to 8,141.64, 12,212.82 and 3,456.96 is: 5,185.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.64 : 12,212.82 = 3,456.96 : x
  2. Step 2: Convert to fraction form
    8,141.64/12,212.82 = 3,456.96/x
  3. Step 3: Cross multiply
    8,141.64x = 12,212.82 × 3,456.96
  4. Step 4: Simplify right side
    8,141.64x = 42,219,230.23
  5. Step 5: Solve for x
    x = 42,219,230.23/8,141.64
  6. Step 6: Final answer
    x = 5,185.59

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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.