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Finding the Fourth Proportional to 8,004.46, 12,006.86 and 2,081.57

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Solution

The fourth proportional to 8,004.46, 12,006.86 and 2,081.57 is: 3,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.46 : 12,006.86 = 2,081.57 : x
  2. Step 2: Convert to fraction form
    8,004.46/12,006.86 = 2,081.57/x
  3. Step 3: Cross multiply
    8,004.46x = 12,006.86 × 2,081.57
  4. Step 4: Simplify right side
    8,004.46x = 24,993,119.57
  5. Step 5: Solve for x
    x = 24,993,119.57/8,004.46
  6. Step 6: Final answer
    x = 3,122.40

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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.