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Finding the Fourth Proportional to 7,838.15, 11,755.86 and 3,093.05

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Solution

The fourth proportional to 7,838.15, 11,755.86 and 3,093.05 is: 4,639.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.15 : 11,755.86 = 3,093.05 : x
  2. Step 2: Convert to fraction form
    7,838.15/11,755.86 = 3,093.05/x
  3. Step 3: Cross multiply
    7,838.15x = 11,755.86 × 3,093.05
  4. Step 4: Simplify right side
    7,838.15x = 36,361,388.53
  5. Step 5: Solve for x
    x = 36,361,388.53/7,838.15
  6. Step 6: Final answer
    x = 4,639.03

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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.