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Finding the Fourth Proportional to 8,381.36, 12,626.42 and 7,973.84

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Solution

The fourth proportional to 8,381.36, 12,626.42 and 7,973.84 is: 12,012.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.36 : 12,626.42 = 7,973.84 : x
  2. Step 2: Convert to fraction form
    8,381.36/12,626.42 = 7,973.84/x
  3. Step 3: Cross multiply
    8,381.36x = 12,626.42 × 7,973.84
  4. Step 4: Simplify right side
    8,381.36x = 100,681,052.85
  5. Step 5: Solve for x
    x = 100,681,052.85/8,381.36
  6. Step 6: Final answer
    x = 12,012.50

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.