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Finding the Fourth Proportional to 11,309.70, 15,619.59 and 8,821.38

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Solution

The fourth proportional to 11,309.70, 15,619.59 and 8,821.38 is: 12,183.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.70 : 15,619.59 = 8,821.38 : x
  2. Step 2: Convert to fraction form
    11,309.70/15,619.59 = 8,821.38/x
  3. Step 3: Cross multiply
    11,309.70x = 15,619.59 × 8,821.38
  4. Step 4: Simplify right side
    11,309.70x = 137,786,338.83
  5. Step 5: Solve for x
    x = 137,786,338.83/11,309.70
  6. Step 6: Final answer
    x = 12,183.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.