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Finding the Fourth Proportional to 10,682.97, 16,018.03 and 4,435.44

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Solution

The fourth proportional to 10,682.97, 16,018.03 and 4,435.44 is: 6,650.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.97 : 16,018.03 = 4,435.44 : x
  2. Step 2: Convert to fraction form
    10,682.97/16,018.03 = 4,435.44/x
  3. Step 3: Cross multiply
    10,682.97x = 16,018.03 × 4,435.44
  4. Step 4: Simplify right side
    10,682.97x = 71,047,010.98
  5. Step 5: Solve for x
    x = 71,047,010.98/10,682.97
  6. Step 6: Final answer
    x = 6,650.49

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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.