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Finding the Fourth Proportional to 11,847.83, 17,775 and 5,183.11

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Solution

The fourth proportional to 11,847.83, 17,775 and 5,183.11 is: 7,776.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,847.83 : 17,775 = 5,183.11 : x
  2. Step 2: Convert to fraction form
    11,847.83/17,775 = 5,183.11/x
  3. Step 3: Cross multiply
    11,847.83x = 17,775 × 5,183.11
  4. Step 4: Simplify right side
    11,847.83x = 92,129,802.47
  5. Step 5: Solve for x
    x = 92,129,802.47/11,847.83
  6. Step 6: Final answer
    x = 7,776.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.