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Finding the Fourth Proportional to 12,105.16, 16,704.21 and 6,798.94

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Solution

The fourth proportional to 12,105.16, 16,704.21 and 6,798.94 is: 9,382.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.16 : 16,704.21 = 6,798.94 : x
  2. Step 2: Convert to fraction form
    12,105.16/16,704.21 = 6,798.94/x
  3. Step 3: Cross multiply
    12,105.16x = 16,704.21 × 6,798.94
  4. Step 4: Simplify right side
    12,105.16x = 113,570,921.54
  5. Step 5: Solve for x
    x = 113,570,921.54/12,105.16
  6. Step 6: Final answer
    x = 9,382.03

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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.