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Finding the Fourth Proportional to 7,997.67, 11,033.88 and 4,638.63

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Solution

The fourth proportional to 7,997.67, 11,033.88 and 4,638.63 is: 6,399.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.67 : 11,033.88 = 4,638.63 : x
  2. Step 2: Convert to fraction form
    7,997.67/11,033.88 = 4,638.63/x
  3. Step 3: Cross multiply
    7,997.67x = 11,033.88 × 4,638.63
  4. Step 4: Simplify right side
    7,997.67x = 51,182,086.78
  5. Step 5: Solve for x
    x = 51,182,086.78/7,997.67
  6. Step 6: Final answer
    x = 6,399.63

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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.