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Finding the Fourth Proportional to 7,749.09, 11,625.03 and 2,825.64

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Solution

The fourth proportional to 7,749.09, 11,625.03 and 2,825.64 is: 4,238.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749.09 : 11,625.03 = 2,825.64 : x
  2. Step 2: Convert to fraction form
    7,749.09/11,625.03 = 2,825.64/x
  3. Step 3: Cross multiply
    7,749.09x = 11,625.03 × 2,825.64
  4. Step 4: Simplify right side
    7,749.09x = 32,848,149.77
  5. Step 5: Solve for x
    x = 32,848,149.77/7,749.09
  6. Step 6: Final answer
    x = 4,238.97

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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.