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Finding the Fourth Proportional to 7,289.27, 10,059.09 and 4,102.73

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Solution

The fourth proportional to 7,289.27, 10,059.09 and 4,102.73 is: 5,661.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,289.27 : 10,059.09 = 4,102.73 : x
  2. Step 2: Convert to fraction form
    7,289.27/10,059.09 = 4,102.73/x
  3. Step 3: Cross multiply
    7,289.27x = 10,059.09 × 4,102.73
  4. Step 4: Simplify right side
    7,289.27x = 41,269,730.32
  5. Step 5: Solve for x
    x = 41,269,730.32/7,289.27
  6. Step 6: Final answer
    x = 5,661.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.