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Finding the Fourth Proportional to 8,215.38, 12,323.04 and 3,830.40

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Solution

The fourth proportional to 8,215.38, 12,323.04 and 3,830.40 is: 5,745.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.38 : 12,323.04 = 3,830.40 : x
  2. Step 2: Convert to fraction form
    8,215.38/12,323.04 = 3,830.40/x
  3. Step 3: Cross multiply
    8,215.38x = 12,323.04 × 3,830.40
  4. Step 4: Simplify right side
    8,215.38x = 47,202,172.42
  5. Step 5: Solve for x
    x = 47,202,172.42/8,215.38
  6. Step 6: Final answer
    x = 5,745.59

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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.