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Finding the Fourth Proportional to 7,833.44, 11,741.86 and 3,669.94

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Solution

The fourth proportional to 7,833.44, 11,741.86 and 3,669.94 is: 5,501.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,833.44 : 11,741.86 = 3,669.94 : x
  2. Step 2: Convert to fraction form
    7,833.44/11,741.86 = 3,669.94/x
  3. Step 3: Cross multiply
    7,833.44x = 11,741.86 × 3,669.94
  4. Step 4: Simplify right side
    7,833.44x = 43,091,940.95
  5. Step 5: Solve for x
    x = 43,091,940.95/7,833.44
  6. Step 6: Final answer
    x = 5,501.02

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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.