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Finding the Fourth Proportional to 8,231.10, 11,361.05 and 5,085.46

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Solution

The fourth proportional to 8,231.10, 11,361.05 and 5,085.46 is: 7,019.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.10 : 11,361.05 = 5,085.46 : x
  2. Step 2: Convert to fraction form
    8,231.10/11,361.05 = 5,085.46/x
  3. Step 3: Cross multiply
    8,231.10x = 11,361.05 × 5,085.46
  4. Step 4: Simplify right side
    8,231.10x = 57,776,165.33
  5. Step 5: Solve for x
    x = 57,776,165.33/8,231.10
  6. Step 6: Final answer
    x = 7,019.25

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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.