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Finding the Fourth Proportional to 8,002.27, 12,003.06 and 2,737.75

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Solution

The fourth proportional to 8,002.27, 12,003.06 and 2,737.75 is: 4,106.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,002.27 : 12,003.06 = 2,737.75 : x
  2. Step 2: Convert to fraction form
    8,002.27/12,003.06 = 2,737.75/x
  3. Step 3: Cross multiply
    8,002.27x = 12,003.06 × 2,737.75
  4. Step 4: Simplify right side
    8,002.27x = 32,861,364.88
  5. Step 5: Solve for x
    x = 32,861,364.88/8,002.27
  6. Step 6: Final answer
    x = 4,106.51

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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.