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Finding the Fourth Proportional to 7,629.88, 11,441.94 and 3,523

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Solution

The fourth proportional to 7,629.88, 11,441.94 and 3,523 is: 5,283.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,629.88 : 11,441.94 = 3,523 : x
  2. Step 2: Convert to fraction form
    7,629.88/11,441.94 = 3,523/x
  3. Step 3: Cross multiply
    7,629.88x = 11,441.94 × 3,523
  4. Step 4: Simplify right side
    7,629.88x = 40,309,954.62
  5. Step 5: Solve for x
    x = 40,309,954.62/7,629.88
  6. Step 6: Final answer
    x = 5,283.17

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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.