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Finding the Fourth Proportional to 11,361.69, 15,671.75 and 6,644.25

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Solution

The fourth proportional to 11,361.69, 15,671.75 and 6,644.25 is: 9,164.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,361.69 : 15,671.75 = 6,644.25 : x
  2. Step 2: Convert to fraction form
    11,361.69/15,671.75 = 6,644.25/x
  3. Step 3: Cross multiply
    11,361.69x = 15,671.75 × 6,644.25
  4. Step 4: Simplify right side
    11,361.69x = 104,126,991.72
  5. Step 5: Solve for x
    x = 104,126,991.72/11,361.69
  6. Step 6: Final answer
    x = 9,164.75

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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.