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Finding the Fourth Proportional to 11,611.75, 17,420.51 and 3,403.75

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Solution

The fourth proportional to 11,611.75, 17,420.51 and 3,403.75 is: 5,106.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.75 : 17,420.51 = 3,403.75 : x
  2. Step 2: Convert to fraction form
    11,611.75/17,420.51 = 3,403.75/x
  3. Step 3: Cross multiply
    11,611.75x = 17,420.51 × 3,403.75
  4. Step 4: Simplify right side
    11,611.75x = 59,295,060.91
  5. Step 5: Solve for x
    x = 59,295,060.91/11,611.75
  6. Step 6: Final answer
    x = 5,106.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.