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Finding the Fourth Proportional to 7,274.90, 10,912.37 and 2,892.33

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Solution

The fourth proportional to 7,274.90, 10,912.37 and 2,892.33 is: 4,338.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.90 : 10,912.37 = 2,892.33 : x
  2. Step 2: Convert to fraction form
    7,274.90/10,912.37 = 2,892.33/x
  3. Step 3: Cross multiply
    7,274.90x = 10,912.37 × 2,892.33
  4. Step 4: Simplify right side
    7,274.90x = 31,562,160.66
  5. Step 5: Solve for x
    x = 31,562,160.66/7,274.90
  6. Step 6: Final answer
    x = 4,338.50

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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.