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Finding the Fourth Proportional to 8,297.86, 11,450.82 and 4,760.84

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Solution

The fourth proportional to 8,297.86, 11,450.82 and 4,760.84 is: 6,569.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,297.86 : 11,450.82 = 4,760.84 : x
  2. Step 2: Convert to fraction form
    8,297.86/11,450.82 = 4,760.84/x
  3. Step 3: Cross multiply
    8,297.86x = 11,450.82 × 4,760.84
  4. Step 4: Simplify right side
    8,297.86x = 54,515,521.89
  5. Step 5: Solve for x
    x = 54,515,521.89/8,297.86
  6. Step 6: Final answer
    x = 6,569.83

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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.