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Finding the Fourth Proportional to 7,734.53, 11,604.11 and 3,055.20

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Solution

The fourth proportional to 7,734.53, 11,604.11 and 3,055.20 is: 4,583.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734.53 : 11,604.11 = 3,055.20 : x
  2. Step 2: Convert to fraction form
    7,734.53/11,604.11 = 3,055.20/x
  3. Step 3: Cross multiply
    7,734.53x = 11,604.11 × 3,055.20
  4. Step 4: Simplify right side
    7,734.53x = 35,452,861.60
  5. Step 5: Solve for x
    x = 35,452,861.60/7,734.53
  6. Step 6: Final answer
    x = 4,583.72

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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.