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Finding the Fourth Proportional to 7,864.98, 11,797.47 and 3,481.26

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Solution

The fourth proportional to 7,864.98, 11,797.47 and 3,481.26 is: 5,221.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,864.98 : 11,797.47 = 3,481.26 : x
  2. Step 2: Convert to fraction form
    7,864.98/11,797.47 = 3,481.26/x
  3. Step 3: Cross multiply
    7,864.98x = 11,797.47 × 3,481.26
  4. Step 4: Simplify right side
    7,864.98x = 41,070,060.41
  5. Step 5: Solve for x
    x = 41,070,060.41/7,864.98
  6. Step 6: Final answer
    x = 5,221.89

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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.