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Finding the Fourth Proportional to 7,273.74, 10,912.26 and 2,080.02

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Solution

The fourth proportional to 7,273.74, 10,912.26 and 2,080.02 is: 3,120.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,273.74 : 10,912.26 = 2,080.02 : x
  2. Step 2: Convert to fraction form
    7,273.74/10,912.26 = 2,080.02/x
  3. Step 3: Cross multiply
    7,273.74x = 10,912.26 × 2,080.02
  4. Step 4: Simplify right side
    7,273.74x = 22,697,719.05
  5. Step 5: Solve for x
    x = 22,697,719.05/7,273.74
  6. Step 6: Final answer
    x = 3,120.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.