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Finding the Fourth Proportional to 7,300.20, 10,942.20 and 4,015.65

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Solution

The fourth proportional to 7,300.20, 10,942.20 and 4,015.65 is: 6,019.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,300.20 : 10,942.20 = 4,015.65 : x
  2. Step 2: Convert to fraction form
    7,300.20/10,942.20 = 4,015.65/x
  3. Step 3: Cross multiply
    7,300.20x = 10,942.20 × 4,015.65
  4. Step 4: Simplify right side
    7,300.20x = 43,940,045.43
  5. Step 5: Solve for x
    x = 43,940,045.43/7,300.20
  6. Step 6: Final answer
    x = 6,019.02

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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.