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Finding the Fourth Proportional to 7,704.76, 11,563.70 and 3,028.04

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Solution

The fourth proportional to 7,704.76, 11,563.70 and 3,028.04 is: 4,544.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.76 : 11,563.70 = 3,028.04 : x
  2. Step 2: Convert to fraction form
    7,704.76/11,563.70 = 3,028.04/x
  3. Step 3: Cross multiply
    7,704.76x = 11,563.70 × 3,028.04
  4. Step 4: Simplify right side
    7,704.76x = 35,015,346.15
  5. Step 5: Solve for x
    x = 35,015,346.15/7,704.76
  6. Step 6: Final answer
    x = 4,544.64

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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.