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Finding the Fourth Proportional to 10,879.46, 16,319.94 and 3,382

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Solution

The fourth proportional to 10,879.46, 16,319.94 and 3,382 is: 5,073.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,879.46 : 16,319.94 = 3,382 : x
  2. Step 2: Convert to fraction form
    10,879.46/16,319.94 = 3,382/x
  3. Step 3: Cross multiply
    10,879.46x = 16,319.94 × 3,382
  4. Step 4: Simplify right side
    10,879.46x = 55,194,037.08
  5. Step 5: Solve for x
    x = 55,194,037.08/10,879.46
  6. Step 6: Final answer
    x = 5,073.23

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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.