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Finding the Fourth Proportional to 7,971.78, 11,957.66 and 2,774

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Solution

The fourth proportional to 7,971.78, 11,957.66 and 2,774 is: 4,161.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971.78 : 11,957.66 = 2,774 : x
  2. Step 2: Convert to fraction form
    7,971.78/11,957.66 = 2,774/x
  3. Step 3: Cross multiply
    7,971.78x = 11,957.66 × 2,774
  4. Step 4: Simplify right side
    7,971.78x = 33,170,548.84
  5. Step 5: Solve for x
    x = 33,170,548.84/7,971.78
  6. Step 6: Final answer
    x = 4,161.00

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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.