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Finding the Fourth Proportional to 11,753.38, 16,219.92 and 6,448.21

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Solution

The fourth proportional to 11,753.38, 16,219.92 and 6,448.21 is: 8,898.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.38 : 16,219.92 = 6,448.21 : x
  2. Step 2: Convert to fraction form
    11,753.38/16,219.92 = 6,448.21/x
  3. Step 3: Cross multiply
    11,753.38x = 16,219.92 × 6,448.21
  4. Step 4: Simplify right side
    11,753.38x = 104,589,415.84
  5. Step 5: Solve for x
    x = 104,589,415.84/11,753.38
  6. Step 6: Final answer
    x = 8,898.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.