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Finding the Fourth Proportional to 27,518.37, 41,277.74 and 6,741.87

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Solution

The fourth proportional to 27,518.37, 41,277.74 and 6,741.87 is: 10,112.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,518.37 : 41,277.74 = 6,741.87 : x
  2. Step 2: Convert to fraction form
    27,518.37/41,277.74 = 6,741.87/x
  3. Step 3: Cross multiply
    27,518.37x = 41,277.74 × 6,741.87
  4. Step 4: Simplify right side
    27,518.37x = 278,289,123.26
  5. Step 5: Solve for x
    x = 278,289,123.26/27,518.37
  6. Step 6: Final answer
    x = 10,112.85

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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.