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Finding the Fourth Proportional to 10,997.42, 16,494.81 and 3,100.53

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Solution

The fourth proportional to 10,997.42, 16,494.81 and 3,100.53 is: 4,650.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,997.42 : 16,494.81 = 3,100.53 : x
  2. Step 2: Convert to fraction form
    10,997.42/16,494.81 = 3,100.53/x
  3. Step 3: Cross multiply
    10,997.42x = 16,494.81 × 3,100.53
  4. Step 4: Simplify right side
    10,997.42x = 51,142,653.25
  5. Step 5: Solve for x
    x = 51,142,653.25/10,997.42
  6. Step 6: Final answer
    x = 4,650.42

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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.