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Finding the Fourth Proportional to 11,361.28, 15,674.92 and 6,883.60

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Solution

The fourth proportional to 11,361.28, 15,674.92 and 6,883.60 is: 9,497.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,361.28 : 15,674.92 = 6,883.60 : x
  2. Step 2: Convert to fraction form
    11,361.28/15,674.92 = 6,883.60/x
  3. Step 3: Cross multiply
    11,361.28x = 15,674.92 × 6,883.60
  4. Step 4: Simplify right side
    11,361.28x = 107,899,879.31
  5. Step 5: Solve for x
    x = 107,899,879.31/11,361.28
  6. Step 6: Final answer
    x = 9,497.16

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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.