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Finding the Fourth Proportional to 7,633.64, 11,450.52 and 2,703.30

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Solution

The fourth proportional to 7,633.64, 11,450.52 and 2,703.30 is: 4,054.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,633.64 : 11,450.52 = 2,703.30 : x
  2. Step 2: Convert to fraction form
    7,633.64/11,450.52 = 2,703.30/x
  3. Step 3: Cross multiply
    7,633.64x = 11,450.52 × 2,703.30
  4. Step 4: Simplify right side
    7,633.64x = 30,954,190.72
  5. Step 5: Solve for x
    x = 30,954,190.72/7,633.64
  6. Step 6: Final answer
    x = 4,054.97

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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.