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Finding the Fourth Proportional to 11,105.28, 16,655.49 and 6,415.38

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Solution

The fourth proportional to 11,105.28, 16,655.49 and 6,415.38 is: 9,621.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,105.28 : 16,655.49 = 6,415.38 : x
  2. Step 2: Convert to fraction form
    11,105.28/16,655.49 = 6,415.38/x
  3. Step 3: Cross multiply
    11,105.28x = 16,655.49 × 6,415.38
  4. Step 4: Simplify right side
    11,105.28x = 106,851,297.44
  5. Step 5: Solve for x
    x = 106,851,297.44/11,105.28
  6. Step 6: Final answer
    x = 9,621.67

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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.