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Finding the Fourth Proportional to 11,918.79, 16,449.39 and 6,883.01

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Solution

The fourth proportional to 11,918.79, 16,449.39 and 6,883.01 is: 9,499.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,918.79 : 16,449.39 = 6,883.01 : x
  2. Step 2: Convert to fraction form
    11,918.79/16,449.39 = 6,883.01/x
  3. Step 3: Cross multiply
    11,918.79x = 16,449.39 × 6,883.01
  4. Step 4: Simplify right side
    11,918.79x = 113,221,233.62
  5. Step 5: Solve for x
    x = 113,221,233.62/11,918.79
  6. Step 6: Final answer
    x = 9,499.39

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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.