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Finding the Fourth Proportional to 11,730.52, 16,186.88 and 6,694.27

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Solution

The fourth proportional to 11,730.52, 16,186.88 and 6,694.27 is: 9,237.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.52 : 16,186.88 = 6,694.27 : x
  2. Step 2: Convert to fraction form
    11,730.52/16,186.88 = 6,694.27/x
  3. Step 3: Cross multiply
    11,730.52x = 16,186.88 × 6,694.27
  4. Step 4: Simplify right side
    11,730.52x = 108,359,319.90
  5. Step 5: Solve for x
    x = 108,359,319.90/11,730.52
  6. Step 6: Final answer
    x = 9,237.38

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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.