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Finding the Fourth Proportional to 11,489.92, 17,234.64 and 6,549.04

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Solution

The fourth proportional to 11,489.92, 17,234.64 and 6,549.04 is: 9,823.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,489.92 : 17,234.64 = 6,549.04 : x
  2. Step 2: Convert to fraction form
    11,489.92/17,234.64 = 6,549.04/x
  3. Step 3: Cross multiply
    11,489.92x = 17,234.64 × 6,549.04
  4. Step 4: Simplify right side
    11,489.92x = 112,870,346.75
  5. Step 5: Solve for x
    x = 112,870,346.75/11,489.92
  6. Step 6: Final answer
    x = 9,823.42

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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.