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Finding the Fourth Proportional to 11,828.44, 17,745.06 and 4,432.76

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Solution

The fourth proportional to 11,828.44, 17,745.06 and 4,432.76 is: 6,650.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,828.44 : 17,745.06 = 4,432.76 : x
  2. Step 2: Convert to fraction form
    11,828.44/17,745.06 = 4,432.76/x
  3. Step 3: Cross multiply
    11,828.44x = 17,745.06 × 4,432.76
  4. Step 4: Simplify right side
    11,828.44x = 78,659,592.17
  5. Step 5: Solve for x
    x = 78,659,592.17/11,828.44
  6. Step 6: Final answer
    x = 6,650.04

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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.