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Finding the Fourth Proportional to 8,021.89, 12,059.73 and 6,472.75

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Solution

The fourth proportional to 8,021.89, 12,059.73 and 6,472.75 is: 9,730.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021.89 : 12,059.73 = 6,472.75 : x
  2. Step 2: Convert to fraction form
    8,021.89/12,059.73 = 6,472.75/x
  3. Step 3: Cross multiply
    8,021.89x = 12,059.73 × 6,472.75
  4. Step 4: Simplify right side
    8,021.89x = 78,059,617.36
  5. Step 5: Solve for x
    x = 78,059,617.36/8,021.89
  6. Step 6: Final answer
    x = 9,730.83

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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.