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Finding the Fourth Proportional to 10,930.30, 16,396.99 and 5,383.70

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Solution

The fourth proportional to 10,930.30, 16,396.99 and 5,383.70 is: 8,076.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.30 : 16,396.99 = 5,383.70 : x
  2. Step 2: Convert to fraction form
    10,930.30/16,396.99 = 5,383.70/x
  3. Step 3: Cross multiply
    10,930.30x = 16,396.99 × 5,383.70
  4. Step 4: Simplify right side
    10,930.30x = 88,276,548.14
  5. Step 5: Solve for x
    x = 88,276,548.14/10,930.30
  6. Step 6: Final answer
    x = 8,076.31

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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.