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Finding the Fourth Proportional to 8,086.44, 12,144.24 and 7,717.08

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Solution

The fourth proportional to 8,086.44, 12,144.24 and 7,717.08 is: 11,589.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,086.44 : 12,144.24 = 7,717.08 : x
  2. Step 2: Convert to fraction form
    8,086.44/12,144.24 = 7,717.08/x
  3. Step 3: Cross multiply
    8,086.44x = 12,144.24 × 7,717.08
  4. Step 4: Simplify right side
    8,086.44x = 93,718,071.62
  5. Step 5: Solve for x
    x = 93,718,071.62/8,086.44
  6. Step 6: Final answer
    x = 11,589.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.