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Finding the Fourth Proportional to 11,916.27, 17,855.97 and 4,516.74

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Solution

The fourth proportional to 11,916.27, 17,855.97 and 4,516.74 is: 6,768.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916.27 : 17,855.97 = 4,516.74 : x
  2. Step 2: Convert to fraction form
    11,916.27/17,855.97 = 4,516.74/x
  3. Step 3: Cross multiply
    11,916.27x = 17,855.97 × 4,516.74
  4. Step 4: Simplify right side
    11,916.27x = 80,650,773.94
  5. Step 5: Solve for x
    x = 80,650,773.94/11,916.27
  6. Step 6: Final answer
    x = 6,768.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.