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Finding the Fourth Proportional to 11,747.85, 16,212 and 6,443.01

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Solution

The fourth proportional to 11,747.85, 16,212 and 6,443.01 is: 8,891.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.85 : 16,212 = 6,443.01 : x
  2. Step 2: Convert to fraction form
    11,747.85/16,212 = 6,443.01/x
  3. Step 3: Cross multiply
    11,747.85x = 16,212 × 6,443.01
  4. Step 4: Simplify right side
    11,747.85x = 104,454,078.12
  5. Step 5: Solve for x
    x = 104,454,078.12/11,747.85
  6. Step 6: Final answer
    x = 8,891.34

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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.