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Finding the Fourth Proportional to 11,212.65, 16,820.78 and 3,816.34

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Solution

The fourth proportional to 11,212.65, 16,820.78 and 3,816.34 is: 5,725.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,212.65 : 16,820.78 = 3,816.34 : x
  2. Step 2: Convert to fraction form
    11,212.65/16,820.78 = 3,816.34/x
  3. Step 3: Cross multiply
    11,212.65x = 16,820.78 × 3,816.34
  4. Step 4: Simplify right side
    11,212.65x = 64,193,754.41
  5. Step 5: Solve for x
    x = 64,193,754.41/11,212.65
  6. Step 6: Final answer
    x = 5,725.12

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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.