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Finding the Fourth Proportional to 7,894.23, 11,841.98 and 2,629.05

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Solution

The fourth proportional to 7,894.23, 11,841.98 and 2,629.05 is: 3,943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,894.23 : 11,841.98 = 2,629.05 : x
  2. Step 2: Convert to fraction form
    7,894.23/11,841.98 = 2,629.05/x
  3. Step 3: Cross multiply
    7,894.23x = 11,841.98 × 2,629.05
  4. Step 4: Simplify right side
    7,894.23x = 31,133,144.37
  5. Step 5: Solve for x
    x = 31,133,144.37/7,894.23
  6. Step 6: Final answer
    x = 3,943.78

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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.