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Finding the Fourth Proportional to 8,232.53, 11,361.84 and 4,696.25

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Solution

The fourth proportional to 8,232.53, 11,361.84 and 4,696.25 is: 6,481.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,232.53 : 11,361.84 = 4,696.25 : x
  2. Step 2: Convert to fraction form
    8,232.53/11,361.84 = 4,696.25/x
  3. Step 3: Cross multiply
    8,232.53x = 11,361.84 × 4,696.25
  4. Step 4: Simplify right side
    8,232.53x = 53,358,041.10
  5. Step 5: Solve for x
    x = 53,358,041.10/8,232.53
  6. Step 6: Final answer
    x = 6,481.37

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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.