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Finding the Fourth Proportional to 7,768.53, 11,651.14 and 2,504.01

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Solution

The fourth proportional to 7,768.53, 11,651.14 and 2,504.01 is: 3,755.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.53 : 11,651.14 = 2,504.01 : x
  2. Step 2: Convert to fraction form
    7,768.53/11,651.14 = 2,504.01/x
  3. Step 3: Cross multiply
    7,768.53x = 11,651.14 × 2,504.01
  4. Step 4: Simplify right side
    7,768.53x = 29,174,571.07
  5. Step 5: Solve for x
    x = 29,174,571.07/7,768.53
  6. Step 6: Final answer
    x = 3,755.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.