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Finding the Fourth Proportional to 12,380.50, 17,084.78 and 7,074.97

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Solution

The fourth proportional to 12,380.50, 17,084.78 and 7,074.97 is: 9,763.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380.50 : 17,084.78 = 7,074.97 : x
  2. Step 2: Convert to fraction form
    12,380.50/17,084.78 = 7,074.97/x
  3. Step 3: Cross multiply
    12,380.50x = 17,084.78 × 7,074.97
  4. Step 4: Simplify right side
    12,380.50x = 120,874,305.96
  5. Step 5: Solve for x
    x = 120,874,305.96/12,380.50
  6. Step 6: Final answer
    x = 9,763.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.