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Finding the Fourth Proportional to 11,296.56, 16,940.52 and 6,674.16

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Solution

The fourth proportional to 11,296.56, 16,940.52 and 6,674.16 is: 10,008.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,296.56 : 16,940.52 = 6,674.16 : x
  2. Step 2: Convert to fraction form
    11,296.56/16,940.52 = 6,674.16/x
  3. Step 3: Cross multiply
    11,296.56x = 16,940.52 × 6,674.16
  4. Step 4: Simplify right side
    11,296.56x = 113,063,740.96
  5. Step 5: Solve for x
    x = 113,063,740.96/11,296.56
  6. Step 6: Final answer
    x = 10,008.69

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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.