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Finding the Fourth Proportional to 8,141.82, 12,212.72 and 2,595.17

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Solution

The fourth proportional to 8,141.82, 12,212.72 and 2,595.17 is: 3,892.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.82 : 12,212.72 = 2,595.17 : x
  2. Step 2: Convert to fraction form
    8,141.82/12,212.72 = 2,595.17/x
  3. Step 3: Cross multiply
    8,141.82x = 12,212.72 × 2,595.17
  4. Step 4: Simplify right side
    8,141.82x = 31,694,126.45
  5. Step 5: Solve for x
    x = 31,694,126.45/8,141.82
  6. Step 6: Final answer
    x = 3,892.76

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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.