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Finding the Fourth Proportional to 8,183.98, 11,295.47 and 5,346.47

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Solution

The fourth proportional to 8,183.98, 11,295.47 and 5,346.47 is: 7,379.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,183.98 : 11,295.47 = 5,346.47 : x
  2. Step 2: Convert to fraction form
    8,183.98/11,295.47 = 5,346.47/x
  3. Step 3: Cross multiply
    8,183.98x = 11,295.47 × 5,346.47
  4. Step 4: Simplify right side
    8,183.98x = 60,390,808.28
  5. Step 5: Solve for x
    x = 60,390,808.28/8,183.98
  6. Step 6: Final answer
    x = 7,379.15

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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.