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Finding the Fourth Proportional to 8,427.64, 12,643.94 and 2,504.57

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Solution

The fourth proportional to 8,427.64, 12,643.94 and 2,504.57 is: 3,757.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.64 : 12,643.94 = 2,504.57 : x
  2. Step 2: Convert to fraction form
    8,427.64/12,643.94 = 2,504.57/x
  3. Step 3: Cross multiply
    8,427.64x = 12,643.94 × 2,504.57
  4. Step 4: Simplify right side
    8,427.64x = 31,667,629.36
  5. Step 5: Solve for x
    x = 31,667,629.36/8,427.64
  6. Step 6: Final answer
    x = 3,757.59

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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.