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Finding the Fourth Proportional to 8,162.92, 12,233.43 and 6,719.50

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Solution

The fourth proportional to 8,162.92, 12,233.43 and 6,719.50 is: 10,070.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.92 : 12,233.43 = 6,719.50 : x
  2. Step 2: Convert to fraction form
    8,162.92/12,233.43 = 6,719.50/x
  3. Step 3: Cross multiply
    8,162.92x = 12,233.43 × 6,719.50
  4. Step 4: Simplify right side
    8,162.92x = 82,202,532.89
  5. Step 5: Solve for x
    x = 82,202,532.89/8,162.92
  6. Step 6: Final answer
    x = 10,070.24

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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.