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Finding the Fourth Proportional to 11,826, 17,738.52 and 6,892.08

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Solution

The fourth proportional to 11,826, 17,738.52 and 6,892.08 is: 10,337.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,826 : 17,738.52 = 6,892.08 : x
  2. Step 2: Convert to fraction form
    11,826/17,738.52 = 6,892.08/x
  3. Step 3: Cross multiply
    11,826x = 17,738.52 × 6,892.08
  4. Step 4: Simplify right side
    11,826x = 122,255,298.92
  5. Step 5: Solve for x
    x = 122,255,298.92/11,826
  6. Step 6: Final answer
    x = 10,337.84

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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.