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Finding the Fourth Proportional to 11,940.94, 16,475.97 and 7,164.37

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Solution

The fourth proportional to 11,940.94, 16,475.97 and 7,164.37 is: 9,885.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,940.94 : 16,475.97 = 7,164.37 : x
  2. Step 2: Convert to fraction form
    11,940.94/16,475.97 = 7,164.37/x
  3. Step 3: Cross multiply
    11,940.94x = 16,475.97 × 7,164.37
  4. Step 4: Simplify right side
    11,940.94x = 118,039,945.19
  5. Step 5: Solve for x
    x = 118,039,945.19/11,940.94
  6. Step 6: Final answer
    x = 9,885.31

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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.