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Finding the Fourth Proportional to 7,997.62, 11,029.20 and 6,323.02

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Solution

The fourth proportional to 7,997.62, 11,029.20 and 6,323.02 is: 8,719.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997.62 : 11,029.20 = 6,323.02 : x
  2. Step 2: Convert to fraction form
    7,997.62/11,029.20 = 6,323.02/x
  3. Step 3: Cross multiply
    7,997.62x = 11,029.20 × 6,323.02
  4. Step 4: Simplify right side
    7,997.62x = 69,737,797.04
  5. Step 5: Solve for x
    x = 69,737,797.04/7,997.62
  6. Step 6: Final answer
    x = 8,719.82

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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.