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Finding the Fourth Proportional to 7,790.73, 11,679.14 and 2,859.22

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Solution

The fourth proportional to 7,790.73, 11,679.14 and 2,859.22 is: 4,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790.73 : 11,679.14 = 2,859.22 : x
  2. Step 2: Convert to fraction form
    7,790.73/11,679.14 = 2,859.22/x
  3. Step 3: Cross multiply
    7,790.73x = 11,679.14 × 2,859.22
  4. Step 4: Simplify right side
    7,790.73x = 33,393,252.42
  5. Step 5: Solve for x
    x = 33,393,252.42/7,790.73
  6. Step 6: Final answer
    x = 4,286.28

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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.