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Finding the Fourth Proportional to 11,753.46, 16,220.07 and 6,448.38

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Solution

The fourth proportional to 11,753.46, 16,220.07 and 6,448.38 is: 8,898.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,753.46 : 16,220.07 = 6,448.38 : x
  2. Step 2: Convert to fraction form
    11,753.46/16,220.07 = 6,448.38/x
  3. Step 3: Cross multiply
    11,753.46x = 16,220.07 × 6,448.38
  4. Step 4: Simplify right side
    11,753.46x = 104,593,174.99
  5. Step 5: Solve for x
    x = 104,593,174.99/11,753.46
  6. Step 6: Final answer
    x = 8,898.93

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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.