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Finding the Fourth Proportional to 10,713.70, 16,072.95 and 4,139.30

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Solution

The fourth proportional to 10,713.70, 16,072.95 and 4,139.30 is: 6,209.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,713.70 : 16,072.95 = 4,139.30 : x
  2. Step 2: Convert to fraction form
    10,713.70/16,072.95 = 4,139.30/x
  3. Step 3: Cross multiply
    10,713.70x = 16,072.95 × 4,139.30
  4. Step 4: Simplify right side
    10,713.70x = 66,530,761.94
  5. Step 5: Solve for x
    x = 66,530,761.94/10,713.70
  6. Step 6: Final answer
    x = 6,209.88

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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.