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Finding the Fourth Proportional to 12,577.37, 17,346.46 and 7,793.99

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Solution

The fourth proportional to 12,577.37, 17,346.46 and 7,793.99 is: 10,749.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,577.37 : 17,346.46 = 7,793.99 : x
  2. Step 2: Convert to fraction form
    12,577.37/17,346.46 = 7,793.99/x
  3. Step 3: Cross multiply
    12,577.37x = 17,346.46 × 7,793.99
  4. Step 4: Simplify right side
    12,577.37x = 135,198,010.07
  5. Step 5: Solve for x
    x = 135,198,010.07/12,577.37
  6. Step 6: Final answer
    x = 10,749.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.