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Finding the Fourth Proportional to 7,446.82, 11,166.36 and 2,514.64

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Solution

The fourth proportional to 7,446.82, 11,166.36 and 2,514.64 is: 3,770.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,446.82 : 11,166.36 = 2,514.64 : x
  2. Step 2: Convert to fraction form
    7,446.82/11,166.36 = 2,514.64/x
  3. Step 3: Cross multiply
    7,446.82x = 11,166.36 × 2,514.64
  4. Step 4: Simplify right side
    7,446.82x = 28,079,375.51
  5. Step 5: Solve for x
    x = 28,079,375.51/7,446.82
  6. Step 6: Final answer
    x = 3,770.65

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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.