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Finding the Fourth Proportional to 11,914.34, 16,442.53 and 6,879.48

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Solution

The fourth proportional to 11,914.34, 16,442.53 and 6,879.48 is: 9,494.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.34 : 16,442.53 = 6,879.48 : x
  2. Step 2: Convert to fraction form
    11,914.34/16,442.53 = 6,879.48/x
  3. Step 3: Cross multiply
    11,914.34x = 16,442.53 × 6,879.48
  4. Step 4: Simplify right side
    11,914.34x = 113,115,977.43
  5. Step 5: Solve for x
    x = 113,115,977.43/11,914.34
  6. Step 6: Final answer
    x = 9,494.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.