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Finding the Fourth Proportional to 11,403.70, 17,103.84 and 3,611.50

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Solution

The fourth proportional to 11,403.70, 17,103.84 and 3,611.50 is: 5,416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,403.70 : 17,103.84 = 3,611.50 : x
  2. Step 2: Convert to fraction form
    11,403.70/17,103.84 = 3,611.50/x
  3. Step 3: Cross multiply
    11,403.70x = 17,103.84 × 3,611.50
  4. Step 4: Simplify right side
    11,403.70x = 61,770,518.16
  5. Step 5: Solve for x
    x = 61,770,518.16/11,403.70
  6. Step 6: Final answer
    x = 5,416.71

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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.