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Finding the Fourth Proportional to 8,207.46, 12,311.94 and 3,275.90

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Solution

The fourth proportional to 8,207.46, 12,311.94 and 3,275.90 is: 4,914.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.46 : 12,311.94 = 3,275.90 : x
  2. Step 2: Convert to fraction form
    8,207.46/12,311.94 = 3,275.90/x
  3. Step 3: Cross multiply
    8,207.46x = 12,311.94 × 3,275.90
  4. Step 4: Simplify right side
    8,207.46x = 40,332,684.25
  5. Step 5: Solve for x
    x = 40,332,684.25/8,207.46
  6. Step 6: Final answer
    x = 4,914.15

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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.