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Finding the Fourth Proportional to 10,289.81, 14,201.09 and 5,813.85

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Solution

The fourth proportional to 10,289.81, 14,201.09 and 5,813.85 is: 8,023.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,289.81 : 14,201.09 = 5,813.85 : x
  2. Step 2: Convert to fraction form
    10,289.81/14,201.09 = 5,813.85/x
  3. Step 3: Cross multiply
    10,289.81x = 14,201.09 × 5,813.85
  4. Step 4: Simplify right side
    10,289.81x = 82,562,978.03
  5. Step 5: Solve for x
    x = 82,562,978.03/10,289.81
  6. Step 6: Final answer
    x = 8,023.77

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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.