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Finding the Fourth Proportional to 10,300.67, 14,201.18 and 8,183.23

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Solution

The fourth proportional to 10,300.67, 14,201.18 and 8,183.23 is: 11,281.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,300.67 : 14,201.18 = 8,183.23 : x
  2. Step 2: Convert to fraction form
    10,300.67/14,201.18 = 8,183.23/x
  3. Step 3: Cross multiply
    10,300.67x = 14,201.18 × 8,183.23
  4. Step 4: Simplify right side
    10,300.67x = 116,211,522.21
  5. Step 5: Solve for x
    x = 116,211,522.21/10,300.67
  6. Step 6: Final answer
    x = 11,281.94

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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.