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Finding the Fourth Proportional to 8,577.31, 12,872.12 and 3,650.41

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Solution

The fourth proportional to 8,577.31, 12,872.12 and 3,650.41 is: 5,478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.31 : 12,872.12 = 3,650.41 : x
  2. Step 2: Convert to fraction form
    8,577.31/12,872.12 = 3,650.41/x
  3. Step 3: Cross multiply
    8,577.31x = 12,872.12 × 3,650.41
  4. Step 4: Simplify right side
    8,577.31x = 46,988,465.14
  5. Step 5: Solve for x
    x = 46,988,465.14/8,577.31
  6. Step 6: Final answer
    x = 5,478.23

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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.