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Finding the Fourth Proportional to 8,182.42, 11,287.65 and 5,940.74

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Solution

The fourth proportional to 8,182.42, 11,287.65 and 5,940.74 is: 8,195.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.42 : 11,287.65 = 5,940.74 : x
  2. Step 2: Convert to fraction form
    8,182.42/11,287.65 = 5,940.74/x
  3. Step 3: Cross multiply
    8,182.42x = 11,287.65 × 5,940.74
  4. Step 4: Simplify right side
    8,182.42x = 67,057,044.36
  5. Step 5: Solve for x
    x = 67,057,044.36/8,182.42
  6. Step 6: Final answer
    x = 8,195.26

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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.