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Finding the Fourth Proportional to 10,696.62, 14,761.08 and 5,916.44

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Solution

The fourth proportional to 10,696.62, 14,761.08 and 5,916.44 is: 8,164.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,696.62 : 14,761.08 = 5,916.44 : x
  2. Step 2: Convert to fraction form
    10,696.62/14,761.08 = 5,916.44/x
  3. Step 3: Cross multiply
    10,696.62x = 14,761.08 × 5,916.44
  4. Step 4: Simplify right side
    10,696.62x = 87,332,970.35
  5. Step 5: Solve for x
    x = 87,332,970.35/10,696.62
  6. Step 6: Final answer
    x = 8,164.54

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Why These Related Problems?

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