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Finding the Fourth Proportional to 8,161.92, 12,231.93 and 6,718.50

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Solution

The fourth proportional to 8,161.92, 12,231.93 and 6,718.50 is: 10,068.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.92 : 12,231.93 = 6,718.50 : x
  2. Step 2: Convert to fraction form
    8,161.92/12,231.93 = 6,718.50/x
  3. Step 3: Cross multiply
    8,161.92x = 12,231.93 × 6,718.50
  4. Step 4: Simplify right side
    8,161.92x = 82,180,221.71
  5. Step 5: Solve for x
    x = 82,180,221.71/8,161.92
  6. Step 6: Final answer
    x = 10,068.74

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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.