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Finding the Fourth Proportional to 8,205.01, 12,308.05 and 2,361.67

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Solution

The fourth proportional to 8,205.01, 12,308.05 and 2,361.67 is: 3,542.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.01 : 12,308.05 = 2,361.67 : x
  2. Step 2: Convert to fraction form
    8,205.01/12,308.05 = 2,361.67/x
  3. Step 3: Cross multiply
    8,205.01x = 12,308.05 × 2,361.67
  4. Step 4: Simplify right side
    8,205.01x = 29,067,490.90
  5. Step 5: Solve for x
    x = 29,067,490.90/8,205.01
  6. Step 6: Final answer
    x = 3,542.65

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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.