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Finding the Fourth Proportional to 11,314.82, 16,966.74 and 3,919.70

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Solution

The fourth proportional to 11,314.82, 16,966.74 and 3,919.70 is: 5,877.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.82 : 16,966.74 = 3,919.70 : x
  2. Step 2: Convert to fraction form
    11,314.82/16,966.74 = 3,919.70/x
  3. Step 3: Cross multiply
    11,314.82x = 16,966.74 × 3,919.70
  4. Step 4: Simplify right side
    11,314.82x = 66,504,530.78
  5. Step 5: Solve for x
    x = 66,504,530.78/11,314.82
  6. Step 6: Final answer
    x = 5,877.65

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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.