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Finding the Fourth Proportional to 10,930.38, 16,396.80 and 4,004.88

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Solution

The fourth proportional to 10,930.38, 16,396.80 and 4,004.88 is: 6,007.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.38 : 16,396.80 = 4,004.88 : x
  2. Step 2: Convert to fraction form
    10,930.38/16,396.80 = 4,004.88/x
  3. Step 3: Cross multiply
    10,930.38x = 16,396.80 × 4,004.88
  4. Step 4: Simplify right side
    10,930.38x = 65,667,216.38
  5. Step 5: Solve for x
    x = 65,667,216.38/10,930.38
  6. Step 6: Final answer
    x = 6,007.77

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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.