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Finding the Fourth Proportional to 26,084, 39,126 and 10,512.56

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Solution

The fourth proportional to 26,084, 39,126 and 10,512.56 is: 15,768.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,084 : 39,126 = 10,512.56 : x
  2. Step 2: Convert to fraction form
    26,084/39,126 = 10,512.56/x
  3. Step 3: Cross multiply
    26,084x = 39,126 × 10,512.56
  4. Step 4: Simplify right side
    26,084x = 411,314,422.56
  5. Step 5: Solve for x
    x = 411,314,422.56/26,084
  6. Step 6: Final answer
    x = 15,768.84

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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.