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Finding the Fourth Proportional to 11,890.46, 16,404.12 and 7,640.88

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Solution

The fourth proportional to 11,890.46, 16,404.12 and 7,640.88 is: 10,541.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,890.46 : 16,404.12 = 7,640.88 : x
  2. Step 2: Convert to fraction form
    11,890.46/16,404.12 = 7,640.88/x
  3. Step 3: Cross multiply
    11,890.46x = 16,404.12 × 7,640.88
  4. Step 4: Simplify right side
    11,890.46x = 125,341,912.43
  5. Step 5: Solve for x
    x = 125,341,912.43/11,890.46
  6. Step 6: Final answer
    x = 10,541.38

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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.