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Finding the Fourth Proportional to 8,188.10, 11,299.57 and 4,462.10

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Solution

The fourth proportional to 8,188.10, 11,299.57 and 4,462.10 is: 6,157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.10 : 11,299.57 = 4,462.10 : x
  2. Step 2: Convert to fraction form
    8,188.10/11,299.57 = 4,462.10/x
  3. Step 3: Cross multiply
    8,188.10x = 11,299.57 × 4,462.10
  4. Step 4: Simplify right side
    8,188.10x = 50,419,811.30
  5. Step 5: Solve for x
    x = 50,419,811.30/8,188.10
  6. Step 6: Final answer
    x = 6,157.69

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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.