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Finding the Fourth Proportional to 7,274.57, 10,911.63 and 2,080.46

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Solution

The fourth proportional to 7,274.57, 10,911.63 and 2,080.46 is: 3,120.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.57 : 10,911.63 = 2,080.46 : x
  2. Step 2: Convert to fraction form
    7,274.57/10,911.63 = 2,080.46/x
  3. Step 3: Cross multiply
    7,274.57x = 10,911.63 × 2,080.46
  4. Step 4: Simplify right side
    7,274.57x = 22,701,209.75
  5. Step 5: Solve for x
    x = 22,701,209.75/7,274.57
  6. Step 6: Final answer
    x = 3,120.63

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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.