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Finding the Fourth Proportional to 11,596.86, 17,396.34 and 3,276.99

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Solution

The fourth proportional to 11,596.86, 17,396.34 and 3,276.99 is: 4,915.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.86 : 17,396.34 = 3,276.99 : x
  2. Step 2: Convert to fraction form
    11,596.86/17,396.34 = 3,276.99/x
  3. Step 3: Cross multiply
    11,596.86x = 17,396.34 × 3,276.99
  4. Step 4: Simplify right side
    11,596.86x = 57,007,632.22
  5. Step 5: Solve for x
    x = 57,007,632.22/11,596.86
  6. Step 6: Final answer
    x = 4,915.78

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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.