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Finding the Fourth Proportional to 11,668.32, 16,101.72 and 6,362.82

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Solution

The fourth proportional to 11,668.32, 16,101.72 and 6,362.82 is: 8,780.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,668.32 : 16,101.72 = 6,362.82 : x
  2. Step 2: Convert to fraction form
    11,668.32/16,101.72 = 6,362.82/x
  3. Step 3: Cross multiply
    11,668.32x = 16,101.72 × 6,362.82
  4. Step 4: Simplify right side
    11,668.32x = 102,452,346.05
  5. Step 5: Solve for x
    x = 102,452,346.05/11,668.32
  6. Step 6: Final answer
    x = 8,780.39

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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.