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Finding the Fourth Proportional to 7,633.88, 11,435.91 and 5,261.53

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Solution

The fourth proportional to 7,633.88, 11,435.91 and 5,261.53 is: 7,882.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.88 : 11,435.91 = 5,261.53 : x
  2. Step 2: Convert to fraction form
    7,633.88/11,435.91 = 5,261.53/x
  3. Step 3: Cross multiply
    7,633.88x = 11,435.91 × 5,261.53
  4. Step 4: Simplify right side
    7,633.88x = 60,170,383.54
  5. Step 5: Solve for x
    x = 60,170,383.54/7,633.88
  6. Step 6: Final answer
    x = 7,882.02

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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.