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Finding the Fourth Proportional to 11,660.44, 16,094.04 and 6,947.32

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Solution

The fourth proportional to 11,660.44, 16,094.04 and 6,947.32 is: 9,588.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,660.44 : 16,094.04 = 6,947.32 : x
  2. Step 2: Convert to fraction form
    11,660.44/16,094.04 = 6,947.32/x
  3. Step 3: Cross multiply
    11,660.44x = 16,094.04 × 6,947.32
  4. Step 4: Simplify right side
    11,660.44x = 111,810,445.97
  5. Step 5: Solve for x
    x = 111,810,445.97/11,660.44
  6. Step 6: Final answer
    x = 9,588.87

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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.