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Finding the Fourth Proportional to 11,685.36, 16,126.07 and 6,380.21

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Solution

The fourth proportional to 11,685.36, 16,126.07 and 6,380.21 is: 8,804.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685.36 : 16,126.07 = 6,380.21 : x
  2. Step 2: Convert to fraction form
    11,685.36/16,126.07 = 6,380.21/x
  3. Step 3: Cross multiply
    11,685.36x = 16,126.07 × 6,380.21
  4. Step 4: Simplify right side
    11,685.36x = 102,887,757.38
  5. Step 5: Solve for x
    x = 102,887,757.38/11,685.36
  6. Step 6: Final answer
    x = 8,804.84

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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.