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Finding the Fourth Proportional to 7,832.44, 10,808.12 and 4,474.76

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Solution

The fourth proportional to 7,832.44, 10,808.12 and 4,474.76 is: 6,174.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,832.44 : 10,808.12 = 4,474.76 : x
  2. Step 2: Convert to fraction form
    7,832.44/10,808.12 = 4,474.76/x
  3. Step 3: Cross multiply
    7,832.44x = 10,808.12 × 4,474.76
  4. Step 4: Simplify right side
    7,832.44x = 48,363,743.05
  5. Step 5: Solve for x
    x = 48,363,743.05/7,832.44
  6. Step 6: Final answer
    x = 6,174.80

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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.