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Finding the Fourth Proportional to 7,982, 11,951.12 and 6,028.32

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Solution

The fourth proportional to 7,982, 11,951.12 and 6,028.32 is: 9,025.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,982 : 11,951.12 = 6,028.32 : x
  2. Step 2: Convert to fraction form
    7,982/11,951.12 = 6,028.32/x
  3. Step 3: Cross multiply
    7,982x = 11,951.12 × 6,028.32
  4. Step 4: Simplify right side
    7,982x = 72,045,175.72
  5. Step 5: Solve for x
    x = 72,045,175.72/7,982
  6. Step 6: Final answer
    x = 9,025.96

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Why These Related Problems?

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