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Finding the Fourth Proportional to 7,755.64, 11,633.83 and 2,209.36

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Solution

The fourth proportional to 7,755.64, 11,633.83 and 2,209.36 is: 3,314.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,755.64 : 11,633.83 = 2,209.36 : x
  2. Step 2: Convert to fraction form
    7,755.64/11,633.83 = 2,209.36/x
  3. Step 3: Cross multiply
    7,755.64x = 11,633.83 × 2,209.36
  4. Step 4: Simplify right side
    7,755.64x = 25,703,318.65
  5. Step 5: Solve for x
    x = 25,703,318.65/7,755.64
  6. Step 6: Final answer
    x = 3,314.15

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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.