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Finding the Fourth Proportional to 11,274.64, 16,912.07 and 5,034.97

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Solution

The fourth proportional to 11,274.64, 16,912.07 and 5,034.97 is: 7,552.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,274.64 : 16,912.07 = 5,034.97 : x
  2. Step 2: Convert to fraction form
    11,274.64/16,912.07 = 5,034.97/x
  3. Step 3: Cross multiply
    11,274.64x = 16,912.07 × 5,034.97
  4. Step 4: Simplify right side
    11,274.64x = 85,151,735.40
  5. Step 5: Solve for x
    x = 85,151,735.40/11,274.64
  6. Step 6: Final answer
    x = 7,552.50

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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.