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Finding the Fourth Proportional to 8,011.92, 12,017.88 and 3,080.64

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Solution

The fourth proportional to 8,011.92, 12,017.88 and 3,080.64 is: 4,620.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,011.92 : 12,017.88 = 3,080.64 : x
  2. Step 2: Convert to fraction form
    8,011.92/12,017.88 = 3,080.64/x
  3. Step 3: Cross multiply
    8,011.92x = 12,017.88 × 3,080.64
  4. Step 4: Simplify right side
    8,011.92x = 37,022,761.84
  5. Step 5: Solve for x
    x = 37,022,761.84/8,011.92
  6. Step 6: Final answer
    x = 4,620.96

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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.