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Finding the Fourth Proportional to 7,992, 11,035.71 and 5,012.82

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Solution

The fourth proportional to 7,992, 11,035.71 and 5,012.82 is: 6,921.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,992 : 11,035.71 = 5,012.82 : x
  2. Step 2: Convert to fraction form
    7,992/11,035.71 = 5,012.82/x
  3. Step 3: Cross multiply
    7,992x = 11,035.71 × 5,012.82
  4. Step 4: Simplify right side
    7,992x = 55,320,027.80
  5. Step 5: Solve for x
    x = 55,320,027.80/7,992
  6. Step 6: Final answer
    x = 6,921.93

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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.