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Finding the Fourth Proportional to 7,872.56, 11,804.33 and 3,194.84

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Solution

The fourth proportional to 7,872.56, 11,804.33 and 3,194.84 is: 4,790.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,872.56 : 11,804.33 = 3,194.84 : x
  2. Step 2: Convert to fraction form
    7,872.56/11,804.33 = 3,194.84/x
  3. Step 3: Cross multiply
    7,872.56x = 11,804.33 × 3,194.84
  4. Step 4: Simplify right side
    7,872.56x = 37,712,870.66
  5. Step 5: Solve for x
    x = 37,712,870.66/7,872.56
  6. Step 6: Final answer
    x = 4,790.42

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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.