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Finding the Fourth Proportional to 11,669.96, 16,101.78 and 6,634.28

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Solution

The fourth proportional to 11,669.96, 16,101.78 and 6,634.28 is: 9,153.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,669.96 : 16,101.78 = 6,634.28 : x
  2. Step 2: Convert to fraction form
    11,669.96/16,101.78 = 6,634.28/x
  3. Step 3: Cross multiply
    11,669.96x = 16,101.78 × 6,634.28
  4. Step 4: Simplify right side
    11,669.96x = 106,823,717.02
  5. Step 5: Solve for x
    x = 106,823,717.02/11,669.96
  6. Step 6: Final answer
    x = 9,153.73

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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.