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Finding the Fourth Proportional to 8,230.41, 12,346.90 and 2,682.46

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Solution

The fourth proportional to 8,230.41, 12,346.90 and 2,682.46 is: 4,024.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.41 : 12,346.90 = 2,682.46 : x
  2. Step 2: Convert to fraction form
    8,230.41/12,346.90 = 2,682.46/x
  3. Step 3: Cross multiply
    8,230.41x = 12,346.90 × 2,682.46
  4. Step 4: Simplify right side
    8,230.41x = 33,120,065.37
  5. Step 5: Solve for x
    x = 33,120,065.37/8,230.41
  6. Step 6: Final answer
    x = 4,024.11

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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.