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Finding the Fourth Proportional to 11,596.88, 17,398.58 and 3,811.16

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Solution

The fourth proportional to 11,596.88, 17,398.58 and 3,811.16 is: 5,717.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.88 : 17,398.58 = 3,811.16 : x
  2. Step 2: Convert to fraction form
    11,596.88/17,398.58 = 3,811.16/x
  3. Step 3: Cross multiply
    11,596.88x = 17,398.58 × 3,811.16
  4. Step 4: Simplify right side
    11,596.88x = 66,308,772.15
  5. Step 5: Solve for x
    x = 66,308,772.15/11,596.88
  6. Step 6: Final answer
    x = 5,717.81

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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.