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Finding the Fourth Proportional to 11,211.84, 16,818.22 and 3,314.36

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Solution

The fourth proportional to 11,211.84, 16,818.22 and 3,314.36 is: 4,971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211.84 : 16,818.22 = 3,314.36 : x
  2. Step 2: Convert to fraction form
    11,211.84/16,818.22 = 3,314.36/x
  3. Step 3: Cross multiply
    11,211.84x = 16,818.22 × 3,314.36
  4. Step 4: Simplify right side
    11,211.84x = 55,741,635.64
  5. Step 5: Solve for x
    x = 55,741,635.64/11,211.84
  6. Step 6: Final answer
    x = 4,971.68

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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.