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Finding the Fourth Proportional to 7,505.64, 11,257.16 and 2,760.75

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Solution

The fourth proportional to 7,505.64, 11,257.16 and 2,760.75 is: 4,140.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505.64 : 11,257.16 = 2,760.75 : x
  2. Step 2: Convert to fraction form
    7,505.64/11,257.16 = 2,760.75/x
  3. Step 3: Cross multiply
    7,505.64x = 11,257.16 × 2,760.75
  4. Step 4: Simplify right side
    7,505.64x = 31,078,190.67
  5. Step 5: Solve for x
    x = 31,078,190.67/7,505.64
  6. Step 6: Final answer
    x = 4,140.64

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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.