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Finding the Fourth Proportional to 8,004.68, 12,007.48 and 2,161.76

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Solution

The fourth proportional to 8,004.68, 12,007.48 and 2,161.76 is: 3,242.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,004.68 : 12,007.48 = 2,161.76 : x
  2. Step 2: Convert to fraction form
    8,004.68/12,007.48 = 2,161.76/x
  3. Step 3: Cross multiply
    8,004.68x = 12,007.48 × 2,161.76
  4. Step 4: Simplify right side
    8,004.68x = 25,957,289.96
  5. Step 5: Solve for x
    x = 25,957,289.96/8,004.68
  6. Step 6: Final answer
    x = 3,242.76

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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.