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Finding the Fourth Proportional to 10,992.42, 16,489.20 and 3,201.84

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Solution

The fourth proportional to 10,992.42, 16,489.20 and 3,201.84 is: 4,802.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,992.42 : 16,489.20 = 3,201.84 : x
  2. Step 2: Convert to fraction form
    10,992.42/16,489.20 = 3,201.84/x
  3. Step 3: Cross multiply
    10,992.42x = 16,489.20 × 3,201.84
  4. Step 4: Simplify right side
    10,992.42x = 52,795,780.13
  5. Step 5: Solve for x
    x = 52,795,780.13/10,992.42
  6. Step 6: Final answer
    x = 4,802.93

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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.