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Finding the Fourth Proportional to 11,376, 17,063.46 and 3,982.11

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Solution

The fourth proportional to 11,376, 17,063.46 and 3,982.11 is: 5,972.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376 : 17,063.46 = 3,982.11 : x
  2. Step 2: Convert to fraction form
    11,376/17,063.46 = 3,982.11/x
  3. Step 3: Cross multiply
    11,376x = 17,063.46 × 3,982.11
  4. Step 4: Simplify right side
    11,376x = 67,948,574.70
  5. Step 5: Solve for x
    x = 67,948,574.70/11,376
  6. Step 6: Final answer
    x = 5,972.98

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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.