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Finding the Fourth Proportional to 11,626.38, 16,034.49 and 7,848.54

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Solution

The fourth proportional to 11,626.38, 16,034.49 and 7,848.54 is: 10,824.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,626.38 : 16,034.49 = 7,848.54 : x
  2. Step 2: Convert to fraction form
    11,626.38/16,034.49 = 7,848.54/x
  3. Step 3: Cross multiply
    11,626.38x = 16,034.49 × 7,848.54
  4. Step 4: Simplify right side
    11,626.38x = 125,847,336.14
  5. Step 5: Solve for x
    x = 125,847,336.14/11,626.38
  6. Step 6: Final answer
    x = 10,824.29

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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.