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Finding the Fourth Proportional to 8,821.92, 12,172.56 and 5,636.88

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Solution

The fourth proportional to 8,821.92, 12,172.56 and 5,636.88 is: 7,777.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,821.92 : 12,172.56 = 5,636.88 : x
  2. Step 2: Convert to fraction form
    8,821.92/12,172.56 = 5,636.88/x
  3. Step 3: Cross multiply
    8,821.92x = 12,172.56 × 5,636.88
  4. Step 4: Simplify right side
    8,821.92x = 68,615,260.01
  5. Step 5: Solve for x
    x = 68,615,260.01/8,821.92
  6. Step 6: Final answer
    x = 7,777.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.