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Finding the Fourth Proportional to 11,096.15, 16,640.64 and 3,698.64

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Solution

The fourth proportional to 11,096.15, 16,640.64 and 3,698.64 is: 5,546.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,096.15 : 16,640.64 = 3,698.64 : x
  2. Step 2: Convert to fraction form
    11,096.15/16,640.64 = 3,698.64/x
  3. Step 3: Cross multiply
    11,096.15x = 16,640.64 × 3,698.64
  4. Step 4: Simplify right side
    11,096.15x = 61,547,736.73
  5. Step 5: Solve for x
    x = 61,547,736.73/11,096.15
  6. Step 6: Final answer
    x = 5,546.77

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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.