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Finding the Fourth Proportional to 12,467.46, 17,211.33 and 7,753.26

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Solution

The fourth proportional to 12,467.46, 17,211.33 and 7,753.26 is: 10,703.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,467.46 : 17,211.33 = 7,753.26 : x
  2. Step 2: Convert to fraction form
    12,467.46/17,211.33 = 7,753.26/x
  3. Step 3: Cross multiply
    12,467.46x = 17,211.33 × 7,753.26
  4. Step 4: Simplify right side
    12,467.46x = 133,443,916.44
  5. Step 5: Solve for x
    x = 133,443,916.44/12,467.46
  6. Step 6: Final answer
    x = 10,703.38

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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.