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Finding the Fourth Proportional to 11,204.99, 16,799.71 and 4,961.60

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Solution

The fourth proportional to 11,204.99, 16,799.71 and 4,961.60 is: 7,438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,204.99 : 16,799.71 = 4,961.60 : x
  2. Step 2: Convert to fraction form
    11,204.99/16,799.71 = 4,961.60/x
  3. Step 3: Cross multiply
    11,204.99x = 16,799.71 × 4,961.60
  4. Step 4: Simplify right side
    11,204.99x = 83,353,470.73
  5. Step 5: Solve for x
    x = 83,353,470.73/11,204.99
  6. Step 6: Final answer
    x = 7,438.96

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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.