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Finding the Fourth Proportional to 11,763.52, 16,239 and 7,520.38

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Solution

The fourth proportional to 11,763.52, 16,239 and 7,520.38 is: 10,381.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.52 : 16,239 = 7,520.38 : x
  2. Step 2: Convert to fraction form
    11,763.52/16,239 = 7,520.38/x
  3. Step 3: Cross multiply
    11,763.52x = 16,239 × 7,520.38
  4. Step 4: Simplify right side
    11,763.52x = 122,123,450.82
  5. Step 5: Solve for x
    x = 122,123,450.82/11,763.52
  6. Step 6: Final answer
    x = 10,381.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.