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Finding the Fourth Proportional to 11,216.88, 16,823.39 and 3,821.38

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Solution

The fourth proportional to 11,216.88, 16,823.39 and 3,821.38 is: 5,731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,216.88 : 16,823.39 = 3,821.38 : x
  2. Step 2: Convert to fraction form
    11,216.88/16,823.39 = 3,821.38/x
  3. Step 3: Cross multiply
    11,216.88x = 16,823.39 × 3,821.38
  4. Step 4: Simplify right side
    11,216.88x = 64,288,566.08
  5. Step 5: Solve for x
    x = 64,288,566.08/11,216.88
  6. Step 6: Final answer
    x = 5,731.41

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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.