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Finding the Fourth Proportional to 11,625.85, 17,436.30 and 3,830.41

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Solution

The fourth proportional to 11,625.85, 17,436.30 and 3,830.41 is: 5,744.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,625.85 : 17,436.30 = 3,830.41 : x
  2. Step 2: Convert to fraction form
    11,625.85/17,436.30 = 3,830.41/x
  3. Step 3: Cross multiply
    11,625.85x = 17,436.30 × 3,830.41
  4. Step 4: Simplify right side
    11,625.85x = 66,788,177.88
  5. Step 5: Solve for x
    x = 66,788,177.88/11,625.85
  6. Step 6: Final answer
    x = 5,744.80

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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.