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Finding the Fourth Proportional to 10,004.31, 13,806.86 and 5,811.75

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Solution

The fourth proportional to 10,004.31, 13,806.86 and 5,811.75 is: 8,020.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,004.31 : 13,806.86 = 5,811.75 : x
  2. Step 2: Convert to fraction form
    10,004.31/13,806.86 = 5,811.75/x
  3. Step 3: Cross multiply
    10,004.31x = 13,806.86 × 5,811.75
  4. Step 4: Simplify right side
    10,004.31x = 80,241,989.55
  5. Step 5: Solve for x
    x = 80,241,989.55/10,004.31
  6. Step 6: Final answer
    x = 8,020.74

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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.