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Finding the Fourth Proportional to 10,004.50, 13,806.21 and 5,813.02

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Solution

The fourth proportional to 10,004.50, 13,806.21 and 5,813.02 is: 8,021.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.50 : 13,806.21 = 5,813.02 : x
  2. Step 2: Convert to fraction form
    10,004.50/13,806.21 = 5,813.02/x
  3. Step 3: Cross multiply
    10,004.50x = 13,806.21 × 5,813.02
  4. Step 4: Simplify right side
    10,004.50x = 80,255,774.85
  5. Step 5: Solve for x
    x = 80,255,774.85/10,004.50
  6. Step 6: Final answer
    x = 8,021.97

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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.