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Finding the Fourth Proportional to 8,213.59, 12,313.36 and 3,769.75

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Solution

The fourth proportional to 8,213.59, 12,313.36 and 3,769.75 is: 5,651.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,213.59 : 12,313.36 = 3,769.75 : x
  2. Step 2: Convert to fraction form
    8,213.59/12,313.36 = 3,769.75/x
  3. Step 3: Cross multiply
    8,213.59x = 12,313.36 × 3,769.75
  4. Step 4: Simplify right side
    8,213.59x = 46,418,288.86
  5. Step 5: Solve for x
    x = 46,418,288.86/8,213.59
  6. Step 6: Final answer
    x = 5,651.40

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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.