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Finding the Fourth Proportional to 7,270.16, 10,910.67 and 2,828.52

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Solution

The fourth proportional to 7,270.16, 10,910.67 and 2,828.52 is: 4,244.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,270.16 : 10,910.67 = 2,828.52 : x
  2. Step 2: Convert to fraction form
    7,270.16/10,910.67 = 2,828.52/x
  3. Step 3: Cross multiply
    7,270.16x = 10,910.67 × 2,828.52
  4. Step 4: Simplify right side
    7,270.16x = 30,861,037.70
  5. Step 5: Solve for x
    x = 30,861,037.70/7,270.16
  6. Step 6: Final answer
    x = 4,244.89

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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.