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Finding the Fourth Proportional to 10,277.57, 14,183.69 and 5,799.69

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Solution

The fourth proportional to 10,277.57, 14,183.69 and 5,799.69 is: 8,003.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,277.57 : 14,183.69 = 5,799.69 : x
  2. Step 2: Convert to fraction form
    10,277.57/14,183.69 = 5,799.69/x
  3. Step 3: Cross multiply
    10,277.57x = 14,183.69 × 5,799.69
  4. Step 4: Simplify right side
    10,277.57x = 82,260,940.60
  5. Step 5: Solve for x
    x = 82,260,940.60/10,277.57
  6. Step 6: Final answer
    x = 8,003.93

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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.