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Finding the Fourth Proportional to 10,940.34, 16,414.02 and 3,915.59

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Solution

The fourth proportional to 10,940.34, 16,414.02 and 3,915.59 is: 5,874.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.34 : 16,414.02 = 3,915.59 : x
  2. Step 2: Convert to fraction form
    10,940.34/16,414.02 = 3,915.59/x
  3. Step 3: Cross multiply
    10,940.34x = 16,414.02 × 3,915.59
  4. Step 4: Simplify right side
    10,940.34x = 64,270,490.50
  5. Step 5: Solve for x
    x = 64,270,490.50/10,940.34
  6. Step 6: Final answer
    x = 5,874.63

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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.