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Finding the Fourth Proportional to 8,001.40, 11,998.86 and 2,806.60

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Solution

The fourth proportional to 8,001.40, 11,998.86 and 2,806.60 is: 4,208.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,001.40 : 11,998.86 = 2,806.60 : x
  2. Step 2: Convert to fraction form
    8,001.40/11,998.86 = 2,806.60/x
  3. Step 3: Cross multiply
    8,001.40x = 11,998.86 × 2,806.60
  4. Step 4: Simplify right side
    8,001.40x = 33,676,000.48
  5. Step 5: Solve for x
    x = 33,676,000.48/8,001.40
  6. Step 6: Final answer
    x = 4,208.76

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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.