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Finding the Fourth Proportional to 7,662.84, 11,474.73 and 7,021.32

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Solution

The fourth proportional to 7,662.84, 11,474.73 and 7,021.32 is: 10,514.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.84 : 11,474.73 = 7,021.32 : x
  2. Step 2: Convert to fraction form
    7,662.84/11,474.73 = 7,021.32/x
  3. Step 3: Cross multiply
    7,662.84x = 11,474.73 × 7,021.32
  4. Step 4: Simplify right side
    7,662.84x = 80,567,751.24
  5. Step 5: Solve for x
    x = 80,567,751.24/7,662.84
  6. Step 6: Final answer
    x = 10,514.09

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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.