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Finding the Fourth Proportional to 7,756.54, 11,633.09 and 2,209.78

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Solution

The fourth proportional to 7,756.54, 11,633.09 and 2,209.78 is: 3,314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,756.54 : 11,633.09 = 2,209.78 : x
  2. Step 2: Convert to fraction form
    7,756.54/11,633.09 = 2,209.78/x
  3. Step 3: Cross multiply
    7,756.54x = 11,633.09 × 2,209.78
  4. Step 4: Simplify right side
    7,756.54x = 25,706,558.57
  5. Step 5: Solve for x
    x = 25,706,558.57/7,756.54
  6. Step 6: Final answer
    x = 3,314.18

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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.