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Finding the Fourth Proportional to 6,313.37, 8,711.82 and 3,661.65

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Solution

The fourth proportional to 6,313.37, 8,711.82 and 3,661.65 is: 5,052.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.37 : 8,711.82 = 3,661.65 : x
  2. Step 2: Convert to fraction form
    6,313.37/8,711.82 = 3,661.65/x
  3. Step 3: Cross multiply
    6,313.37x = 8,711.82 × 3,661.65
  4. Step 4: Simplify right side
    6,313.37x = 31,899,635.70
  5. Step 5: Solve for x
    x = 31,899,635.70/6,313.37
  6. Step 6: Final answer
    x = 5,052.72

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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.