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Finding the Fourth Proportional to 7,751.02, 11,624.22 and 2,204.80

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Solution

The fourth proportional to 7,751.02, 11,624.22 and 2,204.80 is: 3,306.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.02 : 11,624.22 = 2,204.80 : x
  2. Step 2: Convert to fraction form
    7,751.02/11,624.22 = 2,204.80/x
  3. Step 3: Cross multiply
    7,751.02x = 11,624.22 × 2,204.80
  4. Step 4: Simplify right side
    7,751.02x = 25,629,080.26
  5. Step 5: Solve for x
    x = 25,629,080.26/7,751.02
  6. Step 6: Final answer
    x = 3,306.54

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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.