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Finding the Fourth Proportional to 7,841.93, 11,759.45 and 3,683.12

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Solution

The fourth proportional to 7,841.93, 11,759.45 and 3,683.12 is: 5,523.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.93 : 11,759.45 = 3,683.12 : x
  2. Step 2: Convert to fraction form
    7,841.93/11,759.45 = 3,683.12/x
  3. Step 3: Cross multiply
    7,841.93x = 11,759.45 × 3,683.12
  4. Step 4: Simplify right side
    7,841.93x = 43,311,447.07
  5. Step 5: Solve for x
    x = 43,311,447.07/7,841.93
  6. Step 6: Final answer
    x = 5,523.06

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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.