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Finding the Fourth Proportional to 11,747.70, 16,211.43 and 6,442.38

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Solution

The fourth proportional to 11,747.70, 16,211.43 and 6,442.38 is: 8,890.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.70 : 16,211.43 = 6,442.38 : x
  2. Step 2: Convert to fraction form
    11,747.70/16,211.43 = 6,442.38/x
  3. Step 3: Cross multiply
    11,747.70x = 16,211.43 × 6,442.38
  4. Step 4: Simplify right side
    11,747.70x = 104,440,192.40
  5. Step 5: Solve for x
    x = 104,440,192.40/11,747.70
  6. Step 6: Final answer
    x = 8,890.27

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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.