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Finding the Fourth Proportional to 10,769.46, 16,167.15 and 6,414.90

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Solution

The fourth proportional to 10,769.46, 16,167.15 and 6,414.90 is: 9,630.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,769.46 : 16,167.15 = 6,414.90 : x
  2. Step 2: Convert to fraction form
    10,769.46/16,167.15 = 6,414.90/x
  3. Step 3: Cross multiply
    10,769.46x = 16,167.15 × 6,414.90
  4. Step 4: Simplify right side
    10,769.46x = 103,710,650.54
  5. Step 5: Solve for x
    x = 103,710,650.54/10,769.46
  6. Step 6: Final answer
    x = 9,630.07

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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.