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Finding the Fourth Proportional to 8,483.92, 12,714.02 and 7,227.97

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Solution

The fourth proportional to 8,483.92, 12,714.02 and 7,227.97 is: 10,831.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,483.92 : 12,714.02 = 7,227.97 : x
  2. Step 2: Convert to fraction form
    8,483.92/12,714.02 = 7,227.97/x
  3. Step 3: Cross multiply
    8,483.92x = 12,714.02 × 7,227.97
  4. Step 4: Simplify right side
    8,483.92x = 91,896,519.00
  5. Step 5: Solve for x
    x = 91,896,519.00/8,483.92
  6. Step 6: Final answer
    x = 10,831.85

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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.