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Finding the Fourth Proportional to 7,754.72, 11,630.34 and 2,207.94

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Solution

The fourth proportional to 7,754.72, 11,630.34 and 2,207.94 is: 3,311.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,754.72 : 11,630.34 = 2,207.94 : x
  2. Step 2: Convert to fraction form
    7,754.72/11,630.34 = 2,207.94/x
  3. Step 3: Cross multiply
    7,754.72x = 11,630.34 × 2,207.94
  4. Step 4: Simplify right side
    7,754.72x = 25,679,092.90
  5. Step 5: Solve for x
    x = 25,679,092.90/7,754.72
  6. Step 6: Final answer
    x = 3,311.41

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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.