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Finding the Fourth Proportional to 7,633.94, 11,449.72 and 2,087.72

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Solution

The fourth proportional to 7,633.94, 11,449.72 and 2,087.72 is: 3,131.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.94 : 11,449.72 = 2,087.72 : x
  2. Step 2: Convert to fraction form
    7,633.94/11,449.72 = 2,087.72/x
  3. Step 3: Cross multiply
    7,633.94x = 11,449.72 × 2,087.72
  4. Step 4: Simplify right side
    7,633.94x = 23,903,809.44
  5. Step 5: Solve for x
    x = 23,903,809.44/7,633.94
  6. Step 6: Final answer
    x = 3,131.25

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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.