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Finding the Fourth Proportional to 8,574.46, 12,863.04 and 3,644.13

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Solution

The fourth proportional to 8,574.46, 12,863.04 and 3,644.13 is: 5,466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,574.46 : 12,863.04 = 3,644.13 : x
  2. Step 2: Convert to fraction form
    8,574.46/12,863.04 = 3,644.13/x
  3. Step 3: Cross multiply
    8,574.46x = 12,863.04 × 3,644.13
  4. Step 4: Simplify right side
    8,574.46x = 46,874,589.96
  5. Step 5: Solve for x
    x = 46,874,589.96/8,574.46
  6. Step 6: Final answer
    x = 5,466.77

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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.