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Finding the Fourth Proportional to 7,735.56, 11,604.62 and 2,540.28

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Solution

The fourth proportional to 7,735.56, 11,604.62 and 2,540.28 is: 3,810.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,735.56 : 11,604.62 = 2,540.28 : x
  2. Step 2: Convert to fraction form
    7,735.56/11,604.62 = 2,540.28/x
  3. Step 3: Cross multiply
    7,735.56x = 11,604.62 × 2,540.28
  4. Step 4: Simplify right side
    7,735.56x = 29,478,984.09
  5. Step 5: Solve for x
    x = 29,478,984.09/7,735.56
  6. Step 6: Final answer
    x = 3,810.84

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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.