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Finding the Fourth Proportional to 8,250.41, 12,381.76 and 3,320.09

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Solution

The fourth proportional to 8,250.41, 12,381.76 and 3,320.09 is: 4,982.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,250.41 : 12,381.76 = 3,320.09 : x
  2. Step 2: Convert to fraction form
    8,250.41/12,381.76 = 3,320.09/x
  3. Step 3: Cross multiply
    8,250.41x = 12,381.76 × 3,320.09
  4. Step 4: Simplify right side
    8,250.41x = 41,108,479.05
  5. Step 5: Solve for x
    x = 41,108,479.05/8,250.41
  6. Step 6: Final answer
    x = 4,982.60

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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.