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Finding the Fourth Proportional to 11,218.22, 16,829.49 and 3,823.10

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Solution

The fourth proportional to 11,218.22, 16,829.49 and 3,823.10 is: 5,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,218.22 : 16,829.49 = 3,823.10 : x
  2. Step 2: Convert to fraction form
    11,218.22/16,829.49 = 3,823.10/x
  3. Step 3: Cross multiply
    11,218.22x = 16,829.49 × 3,823.10
  4. Step 4: Simplify right side
    11,218.22x = 64,340,823.22
  5. Step 5: Solve for x
    x = 64,340,823.22/11,218.22
  6. Step 6: Final answer
    x = 5,735.39

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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.