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Finding the Fourth Proportional to 8,004.76, 12,007.20 and 7,993.24

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Solution

The fourth proportional to 8,004.76, 12,007.20 and 7,993.24 is: 11,989.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.76 : 12,007.20 = 7,993.24 : x
  2. Step 2: Convert to fraction form
    8,004.76/12,007.20 = 7,993.24/x
  3. Step 3: Cross multiply
    8,004.76x = 12,007.20 × 7,993.24
  4. Step 4: Simplify right side
    8,004.76x = 95,976,431.33
  5. Step 5: Solve for x
    x = 95,976,431.33/8,004.76
  6. Step 6: Final answer
    x = 11,989.92

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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.