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Finding the Fourth Proportional to 12,135.37, 16,741.15 and 7,099.78

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Solution

The fourth proportional to 12,135.37, 16,741.15 and 7,099.78 is: 9,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,135.37 : 16,741.15 = 7,099.78 : x
  2. Step 2: Convert to fraction form
    12,135.37/16,741.15 = 7,099.78/x
  3. Step 3: Cross multiply
    12,135.37x = 16,741.15 × 7,099.78
  4. Step 4: Simplify right side
    12,135.37x = 118,858,481.95
  5. Step 5: Solve for x
    x = 118,858,481.95/12,135.37
  6. Step 6: Final answer
    x = 9,794.38

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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.