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Finding the Fourth Proportional to 26,084, 39,126 and 7,616

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Solution

The fourth proportional to 26,084, 39,126 and 7,616 is: 11,424

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,084 : 39,126 = 7,616 : x
  2. Step 2: Convert to fraction form
    26,084/39,126 = 7,616/x
  3. Step 3: Cross multiply
    26,084x = 39,126 × 7,616
  4. Step 4: Simplify right side
    26,084x = 297,983,616
  5. Step 5: Solve for x
    x = 297,983,616/26,084
  6. Step 6: Final answer
    x = 11,424

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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.