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Finding the Fourth Proportional to 7,477.38, 11,214.18 and 2,546.82

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Solution

The fourth proportional to 7,477.38, 11,214.18 and 2,546.82 is: 3,819.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.38 : 11,214.18 = 2,546.82 : x
  2. Step 2: Convert to fraction form
    7,477.38/11,214.18 = 2,546.82/x
  3. Step 3: Cross multiply
    7,477.38x = 11,214.18 × 2,546.82
  4. Step 4: Simplify right side
    7,477.38x = 28,560,497.91
  5. Step 5: Solve for x
    x = 28,560,497.91/7,477.38
  6. Step 6: Final answer
    x = 3,819.59

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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.