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Finding the Fourth Proportional to 11,219.16, 16,832.38 and 3,828.30

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Solution

The fourth proportional to 11,219.16, 16,832.38 and 3,828.30 is: 5,743.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,219.16 : 16,832.38 = 3,828.30 : x
  2. Step 2: Convert to fraction form
    11,219.16/16,832.38 = 3,828.30/x
  3. Step 3: Cross multiply
    11,219.16x = 16,832.38 × 3,828.30
  4. Step 4: Simplify right side
    11,219.16x = 64,439,400.35
  5. Step 5: Solve for x
    x = 64,439,400.35/11,219.16
  6. Step 6: Final answer
    x = 5,743.69

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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.