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Finding the Fourth Proportional to 11,838.23, 17,745.03 and 4,815.23

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Solution

The fourth proportional to 11,838.23, 17,745.03 and 4,815.23 is: 7,217.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,838.23 : 17,745.03 = 4,815.23 : x
  2. Step 2: Convert to fraction form
    11,838.23/17,745.03 = 4,815.23/x
  3. Step 3: Cross multiply
    11,838.23x = 17,745.03 × 4,815.23
  4. Step 4: Simplify right side
    11,838.23x = 85,446,400.81
  5. Step 5: Solve for x
    x = 85,446,400.81/11,838.23
  6. Step 6: Final answer
    x = 7,217.84

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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.