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Finding the Fourth Proportional to 7,633.75, 11,435.72 and 5,261.41

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Solution

The fourth proportional to 7,633.75, 11,435.72 and 5,261.41 is: 7,881.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.75 : 11,435.72 = 5,261.41 : x
  2. Step 2: Convert to fraction form
    7,633.75/11,435.72 = 5,261.41/x
  3. Step 3: Cross multiply
    7,633.75x = 11,435.72 × 5,261.41
  4. Step 4: Simplify right side
    7,633.75x = 60,167,928.08
  5. Step 5: Solve for x
    x = 60,167,928.08/7,633.75
  6. Step 6: Final answer
    x = 7,881.83

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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.