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Finding the Fourth Proportional to 7,937.57, 11,906.73 and 6,548.33

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Solution

The fourth proportional to 7,937.57, 11,906.73 and 6,548.33 is: 9,822.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.57 : 11,906.73 = 6,548.33 : x
  2. Step 2: Convert to fraction form
    7,937.57/11,906.73 = 6,548.33/x
  3. Step 3: Cross multiply
    7,937.57x = 11,906.73 × 6,548.33
  4. Step 4: Simplify right side
    7,937.57x = 77,969,197.26
  5. Step 5: Solve for x
    x = 77,969,197.26/7,937.57
  6. Step 6: Final answer
    x = 9,822.80

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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.