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Finding the Fourth Proportional to 11,102.14, 16,651.05 and 3,204.10

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Solution

The fourth proportional to 11,102.14, 16,651.05 and 3,204.10 is: 4,805.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.14 : 16,651.05 = 3,204.10 : x
  2. Step 2: Convert to fraction form
    11,102.14/16,651.05 = 3,204.10/x
  3. Step 3: Cross multiply
    11,102.14x = 16,651.05 × 3,204.10
  4. Step 4: Simplify right side
    11,102.14x = 53,351,575.66
  5. Step 5: Solve for x
    x = 53,351,575.66/11,102.14
  6. Step 6: Final answer
    x = 4,805.52

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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.