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Finding the Fourth Proportional to 10,871.46, 16,311.07 and 6,706.62

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Solution

The fourth proportional to 10,871.46, 16,311.07 and 6,706.62 is: 10,062.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,871.46 : 16,311.07 = 6,706.62 : x
  2. Step 2: Convert to fraction form
    10,871.46/16,311.07 = 6,706.62/x
  3. Step 3: Cross multiply
    10,871.46x = 16,311.07 × 6,706.62
  4. Step 4: Simplify right side
    10,871.46x = 109,392,202.54
  5. Step 5: Solve for x
    x = 109,392,202.54/10,871.46
  6. Step 6: Final answer
    x = 10,062.33

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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.