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Finding the Fourth Proportional to 8,000.80, 11,986.80 and 6,848.80

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Solution

The fourth proportional to 8,000.80, 11,986.80 and 6,848.80 is: 10,260.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,000.80 : 11,986.80 = 6,848.80 : x
  2. Step 2: Convert to fraction form
    8,000.80/11,986.80 = 6,848.80/x
  3. Step 3: Cross multiply
    8,000.80x = 11,986.80 × 6,848.80
  4. Step 4: Simplify right side
    8,000.80x = 82,095,195.84
  5. Step 5: Solve for x
    x = 82,095,195.84/8,000.80
  6. Step 6: Final answer
    x = 10,260.87

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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.