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Finding the Fourth Proportional to 11,914.81, 16,442.51 and 6,879.23

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Solution

The fourth proportional to 11,914.81, 16,442.51 and 6,879.23 is: 9,493.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.81 : 16,442.51 = 6,879.23 : x
  2. Step 2: Convert to fraction form
    11,914.81/16,442.51 = 6,879.23/x
  3. Step 3: Cross multiply
    11,914.81x = 16,442.51 × 6,879.23
  4. Step 4: Simplify right side
    11,914.81x = 113,111,773.67
  5. Step 5: Solve for x
    x = 113,111,773.67/11,914.81
  6. Step 6: Final answer
    x = 9,493.38

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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.