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Finding the Fourth Proportional to 11,211.45, 16,817 and 3,821.06

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Solution

The fourth proportional to 11,211.45, 16,817 and 3,821.06 is: 5,731.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211.45 : 16,817 = 3,821.06 : x
  2. Step 2: Convert to fraction form
    11,211.45/16,817 = 3,821.06/x
  3. Step 3: Cross multiply
    11,211.45x = 16,817 × 3,821.06
  4. Step 4: Simplify right side
    11,211.45x = 64,258,766.02
  5. Step 5: Solve for x
    x = 64,258,766.02/11,211.45
  6. Step 6: Final answer
    x = 5,731.53

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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.