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Finding the Fourth Proportional to 12,076.38, 16,650.09 and 7,820.37

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Solution

The fourth proportional to 12,076.38, 16,650.09 and 7,820.37 is: 10,782.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,076.38 : 16,650.09 = 7,820.37 : x
  2. Step 2: Convert to fraction form
    12,076.38/16,650.09 = 7,820.37/x
  3. Step 3: Cross multiply
    12,076.38x = 16,650.09 × 7,820.37
  4. Step 4: Simplify right side
    12,076.38x = 130,209,864.33
  5. Step 5: Solve for x
    x = 130,209,864.33/12,076.38
  6. Step 6: Final answer
    x = 10,782.19

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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.