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Finding the Fourth Proportional to 7,238.26, 10,858.98 and 4,119.73

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Solution

The fourth proportional to 7,238.26, 10,858.98 and 4,119.73 is: 6,180.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.26 : 10,858.98 = 4,119.73 : x
  2. Step 2: Convert to fraction form
    7,238.26/10,858.98 = 4,119.73/x
  3. Step 3: Cross multiply
    7,238.26x = 10,858.98 × 4,119.73
  4. Step 4: Simplify right side
    7,238.26x = 44,736,036.65
  5. Step 5: Solve for x
    x = 44,736,036.65/7,238.26
  6. Step 6: Final answer
    x = 6,180.50

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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.