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Finding the Fourth Proportional to 10,980.42, 16,469.43 and 3,584.88

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Solution

The fourth proportional to 10,980.42, 16,469.43 and 3,584.88 is: 5,376.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.42 : 16,469.43 = 3,584.88 : x
  2. Step 2: Convert to fraction form
    10,980.42/16,469.43 = 3,584.88/x
  3. Step 3: Cross multiply
    10,980.42x = 16,469.43 × 3,584.88
  4. Step 4: Simplify right side
    10,980.42x = 59,040,930.22
  5. Step 5: Solve for x
    x = 59,040,930.22/10,980.42
  6. Step 6: Final answer
    x = 5,376.93

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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.