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Finding the Fourth Proportional to 11,796.42, 16,278.94 and 6,419.02

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Solution

The fourth proportional to 11,796.42, 16,278.94 and 6,419.02 is: 8,858.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,796.42 : 16,278.94 = 6,419.02 : x
  2. Step 2: Convert to fraction form
    11,796.42/16,278.94 = 6,419.02/x
  3. Step 3: Cross multiply
    11,796.42x = 16,278.94 × 6,419.02
  4. Step 4: Simplify right side
    11,796.42x = 104,494,841.44
  5. Step 5: Solve for x
    x = 104,494,841.44/11,796.42
  6. Step 6: Final answer
    x = 8,858.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.