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Finding the Fourth Proportional to 8,232.84, 11,361.39 and 4,696.23

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Solution

The fourth proportional to 8,232.84, 11,361.39 and 4,696.23 is: 6,480.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.84 : 11,361.39 = 4,696.23 : x
  2. Step 2: Convert to fraction form
    8,232.84/11,361.39 = 4,696.23/x
  3. Step 3: Cross multiply
    8,232.84x = 11,361.39 × 4,696.23
  4. Step 4: Simplify right side
    8,232.84x = 53,355,700.56
  5. Step 5: Solve for x
    x = 53,355,700.56/8,232.84
  6. Step 6: Final answer
    x = 6,480.84

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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.