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Finding the Fourth Proportional to 7,674.54, 11,514.24 and 2,744.07

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Solution

The fourth proportional to 7,674.54, 11,514.24 and 2,744.07 is: 4,116.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.54 : 11,514.24 = 2,744.07 : x
  2. Step 2: Convert to fraction form
    7,674.54/11,514.24 = 2,744.07/x
  3. Step 3: Cross multiply
    7,674.54x = 11,514.24 × 2,744.07
  4. Step 4: Simplify right side
    7,674.54x = 31,595,880.56
  5. Step 5: Solve for x
    x = 31,595,880.56/7,674.54
  6. Step 6: Final answer
    x = 4,116.97

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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.