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Finding the Fourth Proportional to 7,968.12, 10,997.82 and 5,168.76

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Solution

The fourth proportional to 7,968.12, 10,997.82 and 5,168.76 is: 7,134.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,968.12 : 10,997.82 = 5,168.76 : x
  2. Step 2: Convert to fraction form
    7,968.12/10,997.82 = 5,168.76/x
  3. Step 3: Cross multiply
    7,968.12x = 10,997.82 × 5,168.76
  4. Step 4: Simplify right side
    7,968.12x = 56,845,092.10
  5. Step 5: Solve for x
    x = 56,845,092.10/7,968.12
  6. Step 6: Final answer
    x = 7,134.07

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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.