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Finding the Fourth Proportional to 11,201.92, 16,800.84 and 3,302.80

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Solution

The fourth proportional to 11,201.92, 16,800.84 and 3,302.80 is: 4,953.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.92 : 16,800.84 = 3,302.80 : x
  2. Step 2: Convert to fraction form
    11,201.92/16,800.84 = 3,302.80/x
  3. Step 3: Cross multiply
    11,201.92x = 16,800.84 × 3,302.80
  4. Step 4: Simplify right side
    11,201.92x = 55,489,814.35
  5. Step 5: Solve for x
    x = 55,489,814.35/11,201.92
  6. Step 6: Final answer
    x = 4,953.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.