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Finding the Fourth Proportional to 11,837.62, 16,336.02 and 6,532.84

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Solution

The fourth proportional to 11,837.62, 16,336.02 and 6,532.84 is: 9,015.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,837.62 : 16,336.02 = 6,532.84 : x
  2. Step 2: Convert to fraction form
    11,837.62/16,336.02 = 6,532.84/x
  3. Step 3: Cross multiply
    11,837.62x = 16,336.02 × 6,532.84
  4. Step 4: Simplify right side
    11,837.62x = 106,720,604.90
  5. Step 5: Solve for x
    x = 106,720,604.90/11,837.62
  6. Step 6: Final answer
    x = 9,015.38

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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.