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Finding the Fourth Proportional to 10,906.61, 16,361.31 and 3,887.33

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Solution

The fourth proportional to 10,906.61, 16,361.31 and 3,887.33 is: 5,831.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.61 : 16,361.31 = 3,887.33 : x
  2. Step 2: Convert to fraction form
    10,906.61/16,361.31 = 3,887.33/x
  3. Step 3: Cross multiply
    10,906.61x = 16,361.31 × 3,887.33
  4. Step 4: Simplify right side
    10,906.61x = 63,601,852.11
  5. Step 5: Solve for x
    x = 63,601,852.11/10,906.61
  6. Step 6: Final answer
    x = 5,831.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.