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Finding the Fourth Proportional to 8,021.86, 12,033.90 and 2,475.64

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Solution

The fourth proportional to 8,021.86, 12,033.90 and 2,475.64 is: 3,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.86 : 12,033.90 = 2,475.64 : x
  2. Step 2: Convert to fraction form
    8,021.86/12,033.90 = 2,475.64/x
  3. Step 3: Cross multiply
    8,021.86x = 12,033.90 × 2,475.64
  4. Step 4: Simplify right side
    8,021.86x = 29,791,604.20
  5. Step 5: Solve for x
    x = 29,791,604.20/8,021.86
  6. Step 6: Final answer
    x = 3,713.80

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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.