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Finding the Fourth Proportional to 26,076.16, 39,116.16 and 7,608

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Solution

The fourth proportional to 26,076.16, 39,116.16 and 7,608 is: 11,412.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,076.16 : 39,116.16 = 7,608 : x
  2. Step 2: Convert to fraction form
    26,076.16/39,116.16 = 7,608/x
  3. Step 3: Cross multiply
    26,076.16x = 39,116.16 × 7,608
  4. Step 4: Simplify right side
    26,076.16x = 297,595,745.28
  5. Step 5: Solve for x
    x = 297,595,745.28/26,076.16
  6. Step 6: Final answer
    x = 11,412.56

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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.