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Finding the Fourth Proportional to 11,634.85, 16,057.28 and 6,856.28

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Solution

The fourth proportional to 11,634.85, 16,057.28 and 6,856.28 is: 9,462.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634.85 : 16,057.28 = 6,856.28 : x
  2. Step 2: Convert to fraction form
    11,634.85/16,057.28 = 6,856.28/x
  3. Step 3: Cross multiply
    11,634.85x = 16,057.28 × 6,856.28
  4. Step 4: Simplify right side
    11,634.85x = 110,093,246.01
  5. Step 5: Solve for x
    x = 110,093,246.01/11,634.85
  6. Step 6: Final answer
    x = 9,462.37

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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.