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Finding the Fourth Proportional to 27,738.37, 41,606.34 and 7,747.98

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Solution

The fourth proportional to 27,738.37, 41,606.34 and 7,747.98 is: 11,621.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,738.37 : 41,606.34 = 7,747.98 : x
  2. Step 2: Convert to fraction form
    27,738.37/41,606.34 = 7,747.98/x
  3. Step 3: Cross multiply
    27,738.37x = 41,606.34 × 7,747.98
  4. Step 4: Simplify right side
    27,738.37x = 322,365,090.19
  5. Step 5: Solve for x
    x = 322,365,090.19/27,738.37
  6. Step 6: Final answer
    x = 11,621.63

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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.