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Finding the Fourth Proportional to 7,704.73, 10,597.26 and 6,350.82

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Solution

The fourth proportional to 7,704.73, 10,597.26 and 6,350.82 is: 8,735.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704.73 : 10,597.26 = 6,350.82 : x
  2. Step 2: Convert to fraction form
    7,704.73/10,597.26 = 6,350.82/x
  3. Step 3: Cross multiply
    7,704.73x = 10,597.26 × 6,350.82
  4. Step 4: Simplify right side
    7,704.73x = 67,301,290.75
  5. Step 5: Solve for x
    x = 67,301,290.75/7,704.73
  6. Step 6: Final answer
    x = 8,735.06

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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.