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Finding the Fourth Proportional to 11,400.70, 17,099.34 and 3,608.50

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Solution

The fourth proportional to 11,400.70, 17,099.34 and 3,608.50 is: 5,412.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,400.70 : 17,099.34 = 3,608.50 : x
  2. Step 2: Convert to fraction form
    11,400.70/17,099.34 = 3,608.50/x
  3. Step 3: Cross multiply
    11,400.70x = 17,099.34 × 3,608.50
  4. Step 4: Simplify right side
    11,400.70x = 61,702,968.39
  5. Step 5: Solve for x
    x = 61,702,968.39/11,400.70
  6. Step 6: Final answer
    x = 5,412.21

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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.