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Finding the Fourth Proportional to 7,949.16, 11,927.79 and 6,013.26

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Solution

The fourth proportional to 7,949.16, 11,927.79 and 6,013.26 is: 9,022.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949.16 : 11,927.79 = 6,013.26 : x
  2. Step 2: Convert to fraction form
    7,949.16/11,927.79 = 6,013.26/x
  3. Step 3: Cross multiply
    7,949.16x = 11,927.79 × 6,013.26
  4. Step 4: Simplify right side
    7,949.16x = 71,724,902.50
  5. Step 5: Solve for x
    x = 71,724,902.50/7,949.16
  6. Step 6: Final answer
    x = 9,022.95

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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.