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Finding the Fourth Proportional to 8,427.64, 11,616.92 and 5,770.44

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Solution

The fourth proportional to 8,427.64, 11,616.92 and 5,770.44 is: 7,954.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.64 : 11,616.92 = 5,770.44 : x
  2. Step 2: Convert to fraction form
    8,427.64/11,616.92 = 5,770.44/x
  3. Step 3: Cross multiply
    8,427.64x = 11,616.92 × 5,770.44
  4. Step 4: Simplify right side
    8,427.64x = 67,034,739.84
  5. Step 5: Solve for x
    x = 67,034,739.84/8,427.64
  6. Step 6: Final answer
    x = 7,954.15

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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.