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Finding the Fourth Proportional to 10,661.97, 14,709.56 and 6,183.21

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Solution

The fourth proportional to 10,661.97, 14,709.56 and 6,183.21 is: 8,530.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.97 : 14,709.56 = 6,183.21 : x
  2. Step 2: Convert to fraction form
    10,661.97/14,709.56 = 6,183.21/x
  3. Step 3: Cross multiply
    10,661.97x = 14,709.56 × 6,183.21
  4. Step 4: Simplify right side
    10,661.97x = 90,952,267.57
  5. Step 5: Solve for x
    x = 90,952,267.57/10,661.97
  6. Step 6: Final answer
    x = 8,530.53

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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.