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Finding the Fourth Proportional to 8,182.42, 12,270.68 and 3,502.76

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Solution

The fourth proportional to 8,182.42, 12,270.68 and 3,502.76 is: 5,252.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.42 : 12,270.68 = 3,502.76 : x
  2. Step 2: Convert to fraction form
    8,182.42/12,270.68 = 3,502.76/x
  3. Step 3: Cross multiply
    8,182.42x = 12,270.68 × 3,502.76
  4. Step 4: Simplify right side
    8,182.42x = 42,981,247.08
  5. Step 5: Solve for x
    x = 42,981,247.08/8,182.42
  6. Step 6: Final answer
    x = 5,252.88

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