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Finding the Fourth Proportional to 11,185.63, 16,741.94 and 8,223.29

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Solution

The fourth proportional to 11,185.63, 16,741.94 and 8,223.29 is: 12,308.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,185.63 : 16,741.94 = 8,223.29 : x
  2. Step 2: Convert to fraction form
    11,185.63/16,741.94 = 8,223.29/x
  3. Step 3: Cross multiply
    11,185.63x = 16,741.94 × 8,223.29
  4. Step 4: Simplify right side
    11,185.63x = 137,673,926.30
  5. Step 5: Solve for x
    x = 137,673,926.30/11,185.63
  6. Step 6: Final answer
    x = 12,308.10

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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.