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Finding the Fourth Proportional to 11,219.42, 16,826.97 and 3,823.11

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Solution

The fourth proportional to 11,219.42, 16,826.97 and 3,823.11 is: 5,733.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,219.42 : 16,826.97 = 3,823.11 : x
  2. Step 2: Convert to fraction form
    11,219.42/16,826.97 = 3,823.11/x
  3. Step 3: Cross multiply
    11,219.42x = 16,826.97 × 3,823.11
  4. Step 4: Simplify right side
    11,219.42x = 64,331,357.28
  5. Step 5: Solve for x
    x = 64,331,357.28/11,219.42
  6. Step 6: Final answer
    x = 5,733.93

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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.