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Finding the Fourth Proportional to 11,657.35, 16,080.82 and 6,940.72

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Solution

The fourth proportional to 11,657.35, 16,080.82 and 6,940.72 is: 9,574.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,657.35 : 16,080.82 = 6,940.72 : x
  2. Step 2: Convert to fraction form
    11,657.35/16,080.82 = 6,940.72/x
  3. Step 3: Cross multiply
    11,657.35x = 16,080.82 × 6,940.72
  4. Step 4: Simplify right side
    11,657.35x = 111,612,468.99
  5. Step 5: Solve for x
    x = 111,612,468.99/11,657.35
  6. Step 6: Final answer
    x = 9,574.43

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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.