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Finding the Fourth Proportional to 11,361.36, 15,674.40 and 8,384.32

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Solution

The fourth proportional to 11,361.36, 15,674.40 and 8,384.32 is: 11,567.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,361.36 : 15,674.40 = 8,384.32 : x
  2. Step 2: Convert to fraction form
    11,361.36/15,674.40 = 8,384.32/x
  3. Step 3: Cross multiply
    11,361.36x = 15,674.40 × 8,384.32
  4. Step 4: Simplify right side
    11,361.36x = 131,419,185.41
  5. Step 5: Solve for x
    x = 131,419,185.41/11,361.36
  6. Step 6: Final answer
    x = 11,567.21

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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.