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Finding the Fourth Proportional to 11,916.26, 16,445.86 and 8,138.22

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Solution

The fourth proportional to 11,916.26, 16,445.86 and 8,138.22 is: 11,231.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.26 : 16,445.86 = 8,138.22 : x
  2. Step 2: Convert to fraction form
    11,916.26/16,445.86 = 8,138.22/x
  3. Step 3: Cross multiply
    11,916.26x = 16,445.86 × 8,138.22
  4. Step 4: Simplify right side
    11,916.26x = 133,840,026.77
  5. Step 5: Solve for x
    x = 133,840,026.77/11,916.26
  6. Step 6: Final answer
    x = 11,231.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.