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Finding the Fourth Proportional to 27,906.48, 41,858.84 and 6,846.60

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Solution

The fourth proportional to 27,906.48, 41,858.84 and 6,846.60 is: 10,269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,906.48 : 41,858.84 = 6,846.60 : x
  2. Step 2: Convert to fraction form
    27,906.48/41,858.84 = 6,846.60/x
  3. Step 3: Cross multiply
    27,906.48x = 41,858.84 × 6,846.60
  4. Step 4: Simplify right side
    27,906.48x = 286,590,733.94
  5. Step 5: Solve for x
    x = 286,590,733.94/27,906.48
  6. Step 6: Final answer
    x = 10,269.68

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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.