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Finding the Fourth Proportional to 7,751.94, 11,627.84 and 2,822.96

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Solution

The fourth proportional to 7,751.94, 11,627.84 and 2,822.96 is: 4,234.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.94 : 11,627.84 = 2,822.96 : x
  2. Step 2: Convert to fraction form
    7,751.94/11,627.84 = 2,822.96/x
  3. Step 3: Cross multiply
    7,751.94x = 11,627.84 × 2,822.96
  4. Step 4: Simplify right side
    7,751.94x = 32,824,927.21
  5. Step 5: Solve for x
    x = 32,824,927.21/7,751.94
  6. Step 6: Final answer
    x = 4,234.41

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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.