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Finding the Fourth Proportional to 8,576.38, 12,862.34 and 3,643.48

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Solution

The fourth proportional to 8,576.38, 12,862.34 and 3,643.48 is: 5,464.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.38 : 12,862.34 = 3,643.48 : x
  2. Step 2: Convert to fraction form
    8,576.38/12,862.34 = 3,643.48/x
  3. Step 3: Cross multiply
    8,576.38x = 12,862.34 × 3,643.48
  4. Step 4: Simplify right side
    8,576.38x = 46,863,678.54
  5. Step 5: Solve for x
    x = 46,863,678.54/8,576.38
  6. Step 6: Final answer
    x = 5,464.27

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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.