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Finding the Fourth Proportional to 11,850.42, 16,354.26 and 7,136.22

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Solution

The fourth proportional to 11,850.42, 16,354.26 and 7,136.22 is: 9,848.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,850.42 : 16,354.26 = 7,136.22 : x
  2. Step 2: Convert to fraction form
    11,850.42/16,354.26 = 7,136.22/x
  3. Step 3: Cross multiply
    11,850.42x = 16,354.26 × 7,136.22
  4. Step 4: Simplify right side
    11,850.42x = 116,707,597.30
  5. Step 5: Solve for x
    x = 116,707,597.30/11,850.42
  6. Step 6: Final answer
    x = 9,848.39

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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.