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Finding the Fourth Proportional to 8,183.98, 11,294.33 and 4,828.76

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Solution

The fourth proportional to 8,183.98, 11,294.33 and 4,828.76 is: 6,663.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.98 : 11,294.33 = 4,828.76 : x
  2. Step 2: Convert to fraction form
    8,183.98/11,294.33 = 4,828.76/x
  3. Step 3: Cross multiply
    8,183.98x = 11,294.33 × 4,828.76
  4. Step 4: Simplify right side
    8,183.98x = 54,537,608.93
  5. Step 5: Solve for x
    x = 54,537,608.93/8,183.98
  6. Step 6: Final answer
    x = 6,663.95

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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.