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Finding the Fourth Proportional to 11,786.89, 16,265.97 and 6,409.39

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Solution

The fourth proportional to 11,786.89, 16,265.97 and 6,409.39 is: 8,844.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.89 : 16,265.97 = 6,409.39 : x
  2. Step 2: Convert to fraction form
    11,786.89/16,265.97 = 6,409.39/x
  3. Step 3: Cross multiply
    11,786.89x = 16,265.97 × 6,409.39
  4. Step 4: Simplify right side
    11,786.89x = 104,254,945.46
  5. Step 5: Solve for x
    x = 104,254,945.46/11,786.89
  6. Step 6: Final answer
    x = 8,844.99

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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.