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Finding the Fourth Proportional to 7,674.74, 11,511.62 and 2,744.14

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Solution

The fourth proportional to 7,674.74, 11,511.62 and 2,744.14 is: 4,116.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,674.74 : 11,511.62 = 2,744.14 : x
  2. Step 2: Convert to fraction form
    7,674.74/11,511.62 = 2,744.14/x
  3. Step 3: Cross multiply
    7,674.74x = 11,511.62 × 2,744.14
  4. Step 4: Simplify right side
    7,674.74x = 31,589,496.91
  5. Step 5: Solve for x
    x = 31,589,496.91/7,674.74
  6. Step 6: Final answer
    x = 4,116.03

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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.