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Finding the Fourth Proportional to 11,596.70, 17,393.42 and 3,804.50

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Solution

The fourth proportional to 11,596.70, 17,393.42 and 3,804.50 is: 5,706.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.70 : 17,393.42 = 3,804.50 : x
  2. Step 2: Convert to fraction form
    11,596.70/17,393.42 = 3,804.50/x
  3. Step 3: Cross multiply
    11,596.70x = 17,393.42 × 3,804.50
  4. Step 4: Simplify right side
    11,596.70x = 66,173,266.39
  5. Step 5: Solve for x
    x = 66,173,266.39/11,596.70
  6. Step 6: Final answer
    x = 5,706.22

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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.