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Finding the Fourth Proportional to 6,001.97, 8,272.76 and 4,011.80

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Solution

The fourth proportional to 6,001.97, 8,272.76 and 4,011.80 is: 5,529.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,001.97 : 8,272.76 = 4,011.80 : x
  2. Step 2: Convert to fraction form
    6,001.97/8,272.76 = 4,011.80/x
  3. Step 3: Cross multiply
    6,001.97x = 8,272.76 × 4,011.80
  4. Step 4: Simplify right side
    6,001.97x = 33,188,597.15
  5. Step 5: Solve for x
    x = 33,188,597.15/6,001.97
  6. Step 6: Final answer
    x = 5,529.62

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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.