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Finding the Fourth Proportional to 7,274.92, 10,914.56 and 3,382.60

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Solution

The fourth proportional to 7,274.92, 10,914.56 and 3,382.60 is: 5,074.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,274.92 : 10,914.56 = 3,382.60 : x
  2. Step 2: Convert to fraction form
    7,274.92/10,914.56 = 3,382.60/x
  3. Step 3: Cross multiply
    7,274.92x = 10,914.56 × 3,382.60
  4. Step 4: Simplify right side
    7,274.92x = 36,919,590.66
  5. Step 5: Solve for x
    x = 36,919,590.66/7,274.92
  6. Step 6: Final answer
    x = 5,074.91

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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.