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Finding the Fourth Proportional to 7,665.33, 11,498.25 and 5,997.92

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Solution

The fourth proportional to 7,665.33, 11,498.25 and 5,997.92 is: 8,997.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.33 : 11,498.25 = 5,997.92 : x
  2. Step 2: Convert to fraction form
    7,665.33/11,498.25 = 5,997.92/x
  3. Step 3: Cross multiply
    7,665.33x = 11,498.25 × 5,997.92
  4. Step 4: Simplify right side
    7,665.33x = 68,965,526.15
  5. Step 5: Solve for x
    x = 68,965,526.15/7,665.33
  6. Step 6: Final answer
    x = 8,997.07

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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.