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Finding the Fourth Proportional to 11,405.92, 17,096.10 and 5,842.84

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Solution

The fourth proportional to 11,405.92, 17,096.10 and 5,842.84 is: 8,757.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,405.92 : 17,096.10 = 5,842.84 : x
  2. Step 2: Convert to fraction form
    11,405.92/17,096.10 = 5,842.84/x
  3. Step 3: Cross multiply
    11,405.92x = 17,096.10 × 5,842.84
  4. Step 4: Simplify right side
    11,405.92x = 99,889,776.92
  5. Step 5: Solve for x
    x = 99,889,776.92/11,405.92
  6. Step 6: Final answer
    x = 8,757.71

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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.