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Finding the Fourth Proportional to 8,246.96, 12,367.32 and 2,980.58

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Solution

The fourth proportional to 8,246.96, 12,367.32 and 2,980.58 is: 4,469.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,246.96 : 12,367.32 = 2,980.58 : x
  2. Step 2: Convert to fraction form
    8,246.96/12,367.32 = 2,980.58/x
  3. Step 3: Cross multiply
    8,246.96x = 12,367.32 × 2,980.58
  4. Step 4: Simplify right side
    8,246.96x = 36,861,786.65
  5. Step 5: Solve for x
    x = 36,861,786.65/8,246.96
  6. Step 6: Final answer
    x = 4,469.74

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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.