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Finding the Fourth Proportional to 11,217.22, 16,827.99 and 3,822.10

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Solution

The fourth proportional to 11,217.22, 16,827.99 and 3,822.10 is: 5,733.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,217.22 : 16,827.99 = 3,822.10 : x
  2. Step 2: Convert to fraction form
    11,217.22/16,827.99 = 3,822.10/x
  3. Step 3: Cross multiply
    11,217.22x = 16,827.99 × 3,822.10
  4. Step 4: Simplify right side
    11,217.22x = 64,318,260.58
  5. Step 5: Solve for x
    x = 64,318,260.58/11,217.22
  6. Step 6: Final answer
    x = 5,733.89

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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.