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Finding the Fourth Proportional to 11,747.72, 17,625.41 and 4,352.72

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Solution

The fourth proportional to 11,747.72, 17,625.41 and 4,352.72 is: 6,530.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,747.72 : 17,625.41 = 4,352.72 : x
  2. Step 2: Convert to fraction form
    11,747.72/17,625.41 = 4,352.72/x
  3. Step 3: Cross multiply
    11,747.72x = 17,625.41 × 4,352.72
  4. Step 4: Simplify right side
    11,747.72x = 76,718,474.62
  5. Step 5: Solve for x
    x = 76,718,474.62/11,747.72
  6. Step 6: Final answer
    x = 6,530.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.