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Finding the Fourth Proportional to 10,183.70, 14,065.18 and 8,113.34

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Solution

The fourth proportional to 10,183.70, 14,065.18 and 8,113.34 is: 11,205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,183.70 : 14,065.18 = 8,113.34 : x
  2. Step 2: Convert to fraction form
    10,183.70/14,065.18 = 8,113.34/x
  3. Step 3: Cross multiply
    10,183.70x = 14,065.18 × 8,113.34
  4. Step 4: Simplify right side
    10,183.70x = 114,115,587.50
  5. Step 5: Solve for x
    x = 114,115,587.50/10,183.70
  6. Step 6: Final answer
    x = 11,205.71

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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.