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Finding the Fourth Proportional to 11,635.38, 16,057.02 and 6,330.28

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Solution

The fourth proportional to 11,635.38, 16,057.02 and 6,330.28 is: 8,735.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,635.38 : 16,057.02 = 6,330.28 : x
  2. Step 2: Convert to fraction form
    11,635.38/16,057.02 = 6,330.28/x
  3. Step 3: Cross multiply
    11,635.38x = 16,057.02 × 6,330.28
  4. Step 4: Simplify right side
    11,635.38x = 101,645,432.57
  5. Step 5: Solve for x
    x = 101,645,432.57/11,635.38
  6. Step 6: Final answer
    x = 8,735.89

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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.