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Finding the Fourth Proportional to 7,832.56, 11,729.40 and 6,539.76

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Solution

The fourth proportional to 7,832.56, 11,729.40 and 6,539.76 is: 9,793.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.56 : 11,729.40 = 6,539.76 : x
  2. Step 2: Convert to fraction form
    7,832.56/11,729.40 = 6,539.76/x
  3. Step 3: Cross multiply
    7,832.56x = 11,729.40 × 6,539.76
  4. Step 4: Simplify right side
    7,832.56x = 76,707,460.94
  5. Step 5: Solve for x
    x = 76,707,460.94/7,832.56
  6. Step 6: Final answer
    x = 9,793.41

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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.