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Finding the Fourth Proportional to 7,274.75, 10,912.57 and 2,009.84

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Solution

The fourth proportional to 7,274.75, 10,912.57 and 2,009.84 is: 3,014.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.75 : 10,912.57 = 2,009.84 : x
  2. Step 2: Convert to fraction form
    7,274.75/10,912.57 = 2,009.84/x
  3. Step 3: Cross multiply
    7,274.75x = 10,912.57 × 2,009.84
  4. Step 4: Simplify right side
    7,274.75x = 21,932,460.10
  5. Step 5: Solve for x
    x = 21,932,460.10/7,274.75
  6. Step 6: Final answer
    x = 3,014.88

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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.