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Finding the Fourth Proportional to 27,131.87, 40,692.31 and 7,408.78

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Solution

The fourth proportional to 27,131.87, 40,692.31 and 7,408.78 is: 11,111.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,131.87 : 40,692.31 = 7,408.78 : x
  2. Step 2: Convert to fraction form
    27,131.87/40,692.31 = 7,408.78/x
  3. Step 3: Cross multiply
    27,131.87x = 40,692.31 × 7,408.78
  4. Step 4: Simplify right side
    27,131.87x = 301,480,372.48
  5. Step 5: Solve for x
    x = 301,480,372.48/27,131.87
  6. Step 6: Final answer
    x = 11,111.67

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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.