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Finding the Fourth Proportional to 8,283.94, 12,419.83 and 3,899

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Solution

The fourth proportional to 8,283.94, 12,419.83 and 3,899 is: 5,845.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,283.94 : 12,419.83 = 3,899 : x
  2. Step 2: Convert to fraction form
    8,283.94/12,419.83 = 3,899/x
  3. Step 3: Cross multiply
    8,283.94x = 12,419.83 × 3,899
  4. Step 4: Simplify right side
    8,283.94x = 48,424,917.17
  5. Step 5: Solve for x
    x = 48,424,917.17/8,283.94
  6. Step 6: Final answer
    x = 5,845.64

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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.