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Finding the Fourth Proportional to 10,660.37, 14,711.72 and 5,945.57

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Solution

The fourth proportional to 10,660.37, 14,711.72 and 5,945.57 is: 8,205.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,660.37 : 14,711.72 = 5,945.57 : x
  2. Step 2: Convert to fraction form
    10,660.37/14,711.72 = 5,945.57/x
  3. Step 3: Cross multiply
    10,660.37x = 14,711.72 × 5,945.57
  4. Step 4: Simplify right side
    10,660.37x = 87,469,457.79
  5. Step 5: Solve for x
    x = 87,469,457.79/10,660.37
  6. Step 6: Final answer
    x = 8,205.10

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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.