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Finding the Fourth Proportional to 6,416.78, 8,855.08 and 3,763.67

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Solution

The fourth proportional to 6,416.78, 8,855.08 and 3,763.67 is: 5,193.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.78 : 8,855.08 = 3,763.67 : x
  2. Step 2: Convert to fraction form
    6,416.78/8,855.08 = 3,763.67/x
  3. Step 3: Cross multiply
    6,416.78x = 8,855.08 × 3,763.67
  4. Step 4: Simplify right side
    6,416.78x = 33,327,611.67
  5. Step 5: Solve for x
    x = 33,327,611.67/6,416.78
  6. Step 6: Final answer
    x = 5,193.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.