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Finding the Fourth Proportional to 7,971.39, 11,957.07 and 2,777.25

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Solution

The fourth proportional to 7,971.39, 11,957.07 and 2,777.25 is: 4,165.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.39 : 11,957.07 = 2,777.25 : x
  2. Step 2: Convert to fraction form
    7,971.39/11,957.07 = 2,777.25/x
  3. Step 3: Cross multiply
    7,971.39x = 11,957.07 × 2,777.25
  4. Step 4: Simplify right side
    7,971.39x = 33,207,772.66
  5. Step 5: Solve for x
    x = 33,207,772.66/7,971.39
  6. Step 6: Final answer
    x = 4,165.87

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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.