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Finding the Fourth Proportional to 8,004.89, 12,007.31 and 2,161.49

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Solution

The fourth proportional to 8,004.89, 12,007.31 and 2,161.49 is: 3,242.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.89 : 12,007.31 = 2,161.49 : x
  2. Step 2: Convert to fraction form
    8,004.89/12,007.31 = 2,161.49/x
  3. Step 3: Cross multiply
    8,004.89x = 12,007.31 × 2,161.49
  4. Step 4: Simplify right side
    8,004.89x = 25,953,609.65
  5. Step 5: Solve for x
    x = 25,953,609.65/8,004.89
  6. Step 6: Final answer
    x = 3,242.22

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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.