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Finding the Fourth Proportional to 11,612, 16,017.72 and 6,896

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Solution

The fourth proportional to 11,612, 16,017.72 and 6,896 is: 9,512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612 : 16,017.72 = 6,896 : x
  2. Step 2: Convert to fraction form
    11,612/16,017.72 = 6,896/x
  3. Step 3: Cross multiply
    11,612x = 16,017.72 × 6,896
  4. Step 4: Simplify right side
    11,612x = 110,458,197.12
  5. Step 5: Solve for x
    x = 110,458,197.12/11,612
  6. Step 6: Final answer
    x = 9,512.42

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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.