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Finding the Fourth Proportional to 11,216.92, 16,825.38 and 3,822.16

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Solution

The fourth proportional to 11,216.92, 16,825.38 and 3,822.16 is: 5,733.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216.92 : 16,825.38 = 3,822.16 : x
  2. Step 2: Convert to fraction form
    11,216.92/16,825.38 = 3,822.16/x
  3. Step 3: Cross multiply
    11,216.92x = 16,825.38 × 3,822.16
  4. Step 4: Simplify right side
    11,216.92x = 64,309,294.42
  5. Step 5: Solve for x
    x = 64,309,294.42/11,216.92
  6. Step 6: Final answer
    x = 5,733.24

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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.