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Finding the Fourth Proportional to 8,299.86, 11,453.84 and 4,523.10

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Solution

The fourth proportional to 8,299.86, 11,453.84 and 4,523.10 is: 6,241.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,299.86 : 11,453.84 = 4,523.10 : x
  2. Step 2: Convert to fraction form
    8,299.86/11,453.84 = 4,523.10/x
  3. Step 3: Cross multiply
    8,299.86x = 11,453.84 × 4,523.10
  4. Step 4: Simplify right side
    8,299.86x = 51,806,863.70
  5. Step 5: Solve for x
    x = 51,806,863.70/8,299.86
  6. Step 6: Final answer
    x = 6,241.90

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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.