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Finding the Fourth Proportional to 11,546.96, 15,930.44 and 7,296.80

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Solution

The fourth proportional to 11,546.96, 15,930.44 and 7,296.80 is: 10,066.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,546.96 : 15,930.44 = 7,296.80 : x
  2. Step 2: Convert to fraction form
    11,546.96/15,930.44 = 7,296.80/x
  3. Step 3: Cross multiply
    11,546.96x = 15,930.44 × 7,296.80
  4. Step 4: Simplify right side
    11,546.96x = 116,241,234.59
  5. Step 5: Solve for x
    x = 116,241,234.59/11,546.96
  6. Step 6: Final answer
    x = 10,066.83

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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.