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Finding the Fourth Proportional to 8,162.97, 12,246.59 and 4,215.42

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Solution

The fourth proportional to 8,162.97, 12,246.59 and 4,215.42 is: 6,324.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.97 : 12,246.59 = 4,215.42 : x
  2. Step 2: Convert to fraction form
    8,162.97/12,246.59 = 4,215.42/x
  3. Step 3: Cross multiply
    8,162.97x = 12,246.59 × 4,215.42
  4. Step 4: Simplify right side
    8,162.97x = 51,624,499.34
  5. Step 5: Solve for x
    x = 51,624,499.34/8,162.97
  6. Step 6: Final answer
    x = 6,324.23

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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.