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Finding the Fourth Proportional to 10,980.72, 16,470.09 and 3,082.59

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Solution

The fourth proportional to 10,980.72, 16,470.09 and 3,082.59 is: 4,623.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.72 : 16,470.09 = 3,082.59 : x
  2. Step 2: Convert to fraction form
    10,980.72/16,470.09 = 3,082.59/x
  3. Step 3: Cross multiply
    10,980.72x = 16,470.09 × 3,082.59
  4. Step 4: Simplify right side
    10,980.72x = 50,770,534.73
  5. Step 5: Solve for x
    x = 50,770,534.73/10,980.72
  6. Step 6: Final answer
    x = 4,623.61

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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.