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Finding the Fourth Proportional to 7,274.38, 10,911.56 and 2,657.38

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Solution

The fourth proportional to 7,274.38, 10,911.56 and 2,657.38 is: 3,986.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.38 : 10,911.56 = 2,657.38 : x
  2. Step 2: Convert to fraction form
    7,274.38/10,911.56 = 2,657.38/x
  3. Step 3: Cross multiply
    7,274.38x = 10,911.56 × 2,657.38
  4. Step 4: Simplify right side
    7,274.38x = 28,996,161.31
  5. Step 5: Solve for x
    x = 28,996,161.31/7,274.38
  6. Step 6: Final answer
    x = 3,986.07

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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.