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Finding the Fourth Proportional to 8,205.44, 12,306.33 and 3,820.50

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Solution

The fourth proportional to 8,205.44, 12,306.33 and 3,820.50 is: 5,729.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.44 : 12,306.33 = 3,820.50 : x
  2. Step 2: Convert to fraction form
    8,205.44/12,306.33 = 3,820.50/x
  3. Step 3: Cross multiply
    8,205.44x = 12,306.33 × 3,820.50
  4. Step 4: Simplify right side
    8,205.44x = 47,016,333.77
  5. Step 5: Solve for x
    x = 47,016,333.77/8,205.44
  6. Step 6: Final answer
    x = 5,729.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.