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Finding the Fourth Proportional to 11,786.17, 16,264.65 and 6,408.49

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Solution

The fourth proportional to 11,786.17, 16,264.65 and 6,408.49 is: 8,843.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,786.17 : 16,264.65 = 6,408.49 : x
  2. Step 2: Convert to fraction form
    11,786.17/16,264.65 = 6,408.49/x
  3. Step 3: Cross multiply
    11,786.17x = 16,264.65 × 6,408.49
  4. Step 4: Simplify right side
    11,786.17x = 104,231,846.88
  5. Step 5: Solve for x
    x = 104,231,846.88/11,786.17
  6. Step 6: Final answer
    x = 8,843.57

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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.