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Finding the Fourth Proportional to 11,206.44, 16,812 and 3,811.08

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Solution

The fourth proportional to 11,206.44, 16,812 and 3,811.08 is: 5,717.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.44 : 16,812 = 3,811.08 : x
  2. Step 2: Convert to fraction form
    11,206.44/16,812 = 3,811.08/x
  3. Step 3: Cross multiply
    11,206.44x = 16,812 × 3,811.08
  4. Step 4: Simplify right side
    11,206.44x = 64,071,876.96
  5. Step 5: Solve for x
    x = 64,071,876.96/11,206.44
  6. Step 6: Final answer
    x = 5,717.42

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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.