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Finding the Fourth Proportional to 8,004.57, 12,007.03 and 2,081.69

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Solution

The fourth proportional to 8,004.57, 12,007.03 and 2,081.69 is: 3,122.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.57 : 12,007.03 = 2,081.69 : x
  2. Step 2: Convert to fraction form
    8,004.57/12,007.03 = 2,081.69/x
  3. Step 3: Cross multiply
    8,004.57x = 12,007.03 × 2,081.69
  4. Step 4: Simplify right side
    8,004.57x = 24,994,849.04
  5. Step 5: Solve for x
    x = 24,994,849.04/8,004.57
  6. Step 6: Final answer
    x = 3,122.57

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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.