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Finding the Fourth Proportional to 7,872.68, 11,804.52 and 3,194.96

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Solution

The fourth proportional to 7,872.68, 11,804.52 and 3,194.96 is: 4,790.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.68 : 11,804.52 = 3,194.96 : x
  2. Step 2: Convert to fraction form
    7,872.68/11,804.52 = 3,194.96/x
  3. Step 3: Cross multiply
    7,872.68x = 11,804.52 × 3,194.96
  4. Step 4: Simplify right side
    7,872.68x = 37,714,969.22
  5. Step 5: Solve for x
    x = 37,714,969.22/7,872.68
  6. Step 6: Final answer
    x = 4,790.61

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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.