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Finding the Fourth Proportional to 8,207.67, 12,306.48 and 3,820.92

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Solution

The fourth proportional to 8,207.67, 12,306.48 and 3,820.92 is: 5,729.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.67 : 12,306.48 = 3,820.92 : x
  2. Step 2: Convert to fraction form
    8,207.67/12,306.48 = 3,820.92/x
  3. Step 3: Cross multiply
    8,207.67x = 12,306.48 × 3,820.92
  4. Step 4: Simplify right side
    8,207.67x = 47,022,075.56
  5. Step 5: Solve for x
    x = 47,022,075.56/8,207.67
  6. Step 6: Final answer
    x = 5,729.04

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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.