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Finding the Fourth Proportional to 8,123.16, 12,182.20 and 3,191.48

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Solution

The fourth proportional to 8,123.16, 12,182.20 and 3,191.48 is: 4,786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.16 : 12,182.20 = 3,191.48 : x
  2. Step 2: Convert to fraction form
    8,123.16/12,182.20 = 3,191.48/x
  3. Step 3: Cross multiply
    8,123.16x = 12,182.20 × 3,191.48
  4. Step 4: Simplify right side
    8,123.16x = 38,879,247.66
  5. Step 5: Solve for x
    x = 38,879,247.66/8,123.16
  6. Step 6: Final answer
    x = 4,786.22

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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.