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Finding the Fourth Proportional to 7,469.76, 11,204.63 and 1,922.64

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Solution

The fourth proportional to 7,469.76, 11,204.63 and 1,922.64 is: 2,883.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.76 : 11,204.63 = 1,922.64 : x
  2. Step 2: Convert to fraction form
    7,469.76/11,204.63 = 1,922.64/x
  3. Step 3: Cross multiply
    7,469.76x = 11,204.63 × 1,922.64
  4. Step 4: Simplify right side
    7,469.76x = 21,542,460.21
  5. Step 5: Solve for x
    x = 21,542,460.21/7,469.76
  6. Step 6: Final answer
    x = 2,883.96

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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.