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Finding the Fourth Proportional to 8,004.67, 12,007 and 4,449.05

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Solution

The fourth proportional to 8,004.67, 12,007 and 4,449.05 is: 6,673.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.67 : 12,007 = 4,449.05 : x
  2. Step 2: Convert to fraction form
    8,004.67/12,007 = 4,449.05/x
  3. Step 3: Cross multiply
    8,004.67x = 12,007 × 4,449.05
  4. Step 4: Simplify right side
    8,004.67x = 53,419,743.35
  5. Step 5: Solve for x
    x = 53,419,743.35/8,004.67
  6. Step 6: Final answer
    x = 6,673.57

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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.