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Finding the Fourth Proportional to 8,832.85, 13,245.78 and 3,899

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Solution

The fourth proportional to 8,832.85, 13,245.78 and 3,899 is: 5,846.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,832.85 : 13,245.78 = 3,899 : x
  2. Step 2: Convert to fraction form
    8,832.85/13,245.78 = 3,899/x
  3. Step 3: Cross multiply
    8,832.85x = 13,245.78 × 3,899
  4. Step 4: Simplify right side
    8,832.85x = 51,645,296.22
  5. Step 5: Solve for x
    x = 51,645,296.22/8,832.85
  6. Step 6: Final answer
    x = 5,846.96

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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.