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Finding the Fourth Proportional to 8,323.82, 11,469.57 and 5,666.62

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Solution

The fourth proportional to 8,323.82, 11,469.57 and 5,666.62 is: 7,808.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,323.82 : 11,469.57 = 5,666.62 : x
  2. Step 2: Convert to fraction form
    8,323.82/11,469.57 = 5,666.62/x
  3. Step 3: Cross multiply
    8,323.82x = 11,469.57 × 5,666.62
  4. Step 4: Simplify right side
    8,323.82x = 64,993,694.75
  5. Step 5: Solve for x
    x = 64,993,694.75/8,323.82
  6. Step 6: Final answer
    x = 7,808.16

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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.