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Finding the Fourth Proportional to 8,245.31, 12,371.04 and 3,314.31

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Solution

The fourth proportional to 8,245.31, 12,371.04 and 3,314.31 is: 4,972.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,245.31 : 12,371.04 = 3,314.31 : x
  2. Step 2: Convert to fraction form
    8,245.31/12,371.04 = 3,314.31/x
  3. Step 3: Cross multiply
    8,245.31x = 12,371.04 × 3,314.31
  4. Step 4: Simplify right side
    8,245.31x = 41,001,461.58
  5. Step 5: Solve for x
    x = 41,001,461.58/8,245.31
  6. Step 6: Final answer
    x = 4,972.70

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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.