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Finding the Fourth Proportional to 7,832.89, 11,749.74 and 3,932.74

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Solution

The fourth proportional to 7,832.89, 11,749.74 and 3,932.74 is: 5,899.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.89 : 11,749.74 = 3,932.74 : x
  2. Step 2: Convert to fraction form
    7,832.89/11,749.74 = 3,932.74/x
  3. Step 3: Cross multiply
    7,832.89x = 11,749.74 × 3,932.74
  4. Step 4: Simplify right side
    7,832.89x = 46,208,672.49
  5. Step 5: Solve for x
    x = 46,208,672.49/7,832.89
  6. Step 6: Final answer
    x = 5,899.31

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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.