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Finding the Fourth Proportional to 7,271.28, 10,906.92 and 2,076.84

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Solution

The fourth proportional to 7,271.28, 10,906.92 and 2,076.84 is: 3,115.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.28 : 10,906.92 = 2,076.84 : x
  2. Step 2: Convert to fraction form
    7,271.28/10,906.92 = 2,076.84/x
  3. Step 3: Cross multiply
    7,271.28x = 10,906.92 × 2,076.84
  4. Step 4: Simplify right side
    7,271.28x = 22,651,927.73
  5. Step 5: Solve for x
    x = 22,651,927.73/7,271.28
  6. Step 6: Final answer
    x = 3,115.26

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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.