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Finding the Fourth Proportional to 11,211.74, 16,809.39 and 3,814.21

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Solution

The fourth proportional to 11,211.74, 16,809.39 and 3,814.21 is: 5,718.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,211.74 : 16,809.39 = 3,814.21 : x
  2. Step 2: Convert to fraction form
    11,211.74/16,809.39 = 3,814.21/x
  3. Step 3: Cross multiply
    11,211.74x = 16,809.39 × 3,814.21
  4. Step 4: Simplify right side
    11,211.74x = 64,114,543.43
  5. Step 5: Solve for x
    x = 64,114,543.43/11,211.74
  6. Step 6: Final answer
    x = 5,718.52

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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.