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Finding the Fourth Proportional to 10,832.48, 16,248.12 and 3,812.84

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Solution

The fourth proportional to 10,832.48, 16,248.12 and 3,812.84 is: 5,719.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.48 : 16,248.12 = 3,812.84 : x
  2. Step 2: Convert to fraction form
    10,832.48/16,248.12 = 3,812.84/x
  3. Step 3: Cross multiply
    10,832.48x = 16,248.12 × 3,812.84
  4. Step 4: Simplify right side
    10,832.48x = 61,951,481.86
  5. Step 5: Solve for x
    x = 61,951,481.86/10,832.48
  6. Step 6: Final answer
    x = 5,719.05

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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.