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Finding the Fourth Proportional to 7,825.56, 11,740.96 and 2,560.82

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Solution

The fourth proportional to 7,825.56, 11,740.96 and 2,560.82 is: 3,842.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,825.56 : 11,740.96 = 2,560.82 : x
  2. Step 2: Convert to fraction form
    7,825.56/11,740.96 = 2,560.82/x
  3. Step 3: Cross multiply
    7,825.56x = 11,740.96 × 2,560.82
  4. Step 4: Simplify right side
    7,825.56x = 30,066,485.19
  5. Step 5: Solve for x
    x = 30,066,485.19/7,825.56
  6. Step 6: Final answer
    x = 3,842.09

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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.