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Finding the Fourth Proportional to 8,182.28, 12,273.34 and 3,498.31

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Solution

The fourth proportional to 8,182.28, 12,273.34 and 3,498.31 is: 5,247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.28 : 12,273.34 = 3,498.31 : x
  2. Step 2: Convert to fraction form
    8,182.28/12,273.34 = 3,498.31/x
  3. Step 3: Cross multiply
    8,182.28x = 12,273.34 × 3,498.31
  4. Step 4: Simplify right side
    8,182.28x = 42,935,892.17
  5. Step 5: Solve for x
    x = 42,935,892.17/8,182.28
  6. Step 6: Final answer
    x = 5,247.42

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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.