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Finding the Fourth Proportional to 11,800.39, 16,279.09 and 7,609.99

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Solution

The fourth proportional to 11,800.39, 16,279.09 and 7,609.99 is: 10,498.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.39 : 16,279.09 = 7,609.99 : x
  2. Step 2: Convert to fraction form
    11,800.39/16,279.09 = 7,609.99/x
  3. Step 3: Cross multiply
    11,800.39x = 16,279.09 × 7,609.99
  4. Step 4: Simplify right side
    11,800.39x = 123,883,712.11
  5. Step 5: Solve for x
    x = 123,883,712.11/11,800.39
  6. Step 6: Final answer
    x = 10,498.27

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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.