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Finding the Fourth Proportional to 10,806.31, 16,209.46 and 3,415.96

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Solution

The fourth proportional to 10,806.31, 16,209.46 and 3,415.96 is: 5,123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,806.31 : 16,209.46 = 3,415.96 : x
  2. Step 2: Convert to fraction form
    10,806.31/16,209.46 = 3,415.96/x
  3. Step 3: Cross multiply
    10,806.31x = 16,209.46 × 3,415.96
  4. Step 4: Simplify right side
    10,806.31x = 55,370,768.85
  5. Step 5: Solve for x
    x = 55,370,768.85/10,806.31
  6. Step 6: Final answer
    x = 5,123.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.