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Finding the Fourth Proportional to 7,768.00, 11,650.37 and 2,503.49

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Solution

The fourth proportional to 7,768.00, 11,650.37 and 2,503.49 is: 3,754.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,768.00 : 11,650.37 = 2,503.49 : x
  2. Step 2: Convert to fraction form
    7,768.00/11,650.37 = 2,503.49/x
  3. Step 3: Cross multiply
    7,768.00x = 11,650.37 × 2,503.49
  4. Step 4: Simplify right side
    7,768.00x = 29,166,528.10
  5. Step 5: Solve for x
    x = 29,166,528.10/7,768.00
  6. Step 6: Final answer
    x = 3,754.70

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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.