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Finding the Fourth Proportional to 7,928.06, 11,892.19 and 3,768.47

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Solution

The fourth proportional to 7,928.06, 11,892.19 and 3,768.47 is: 5,652.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,928.06 : 11,892.19 = 3,768.47 : x
  2. Step 2: Convert to fraction form
    7,928.06/11,892.19 = 3,768.47/x
  3. Step 3: Cross multiply
    7,928.06x = 11,892.19 × 3,768.47
  4. Step 4: Simplify right side
    7,928.06x = 44,815,361.25
  5. Step 5: Solve for x
    x = 44,815,361.25/7,928.06
  6. Step 6: Final answer
    x = 5,652.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.