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Finding the Fourth Proportional to 8,361.40, 12,542.12 and 2,121.40

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Solution

The fourth proportional to 8,361.40, 12,542.12 and 2,121.40 is: 3,182.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,361.40 : 12,542.12 = 2,121.40 : x
  2. Step 2: Convert to fraction form
    8,361.40/12,542.12 = 2,121.40/x
  3. Step 3: Cross multiply
    8,361.40x = 12,542.12 × 2,121.40
  4. Step 4: Simplify right side
    8,361.40x = 26,606,853.37
  5. Step 5: Solve for x
    x = 26,606,853.37/8,361.40
  6. Step 6: Final answer
    x = 3,182.11

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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.