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Finding the Fourth Proportional to 11,730.72, 16,188.65 and 6,694.84

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Solution

The fourth proportional to 11,730.72, 16,188.65 and 6,694.84 is: 9,239.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,730.72 : 16,188.65 = 6,694.84 : x
  2. Step 2: Convert to fraction form
    11,730.72/16,188.65 = 6,694.84/x
  3. Step 3: Cross multiply
    11,730.72x = 16,188.65 × 6,694.84
  4. Step 4: Simplify right side
    11,730.72x = 108,380,340.62
  5. Step 5: Solve for x
    x = 108,380,340.62/11,730.72
  6. Step 6: Final answer
    x = 9,239.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.