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Finding the Fourth Proportional to 10,930.56, 16,395.84 and 4,005.12

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Solution

The fourth proportional to 10,930.56, 16,395.84 and 4,005.12 is: 6,007.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.56 : 16,395.84 = 4,005.12 : x
  2. Step 2: Convert to fraction form
    10,930.56/16,395.84 = 4,005.12/x
  3. Step 3: Cross multiply
    10,930.56x = 16,395.84 × 4,005.12
  4. Step 4: Simplify right side
    10,930.56x = 65,667,306.70
  5. Step 5: Solve for x
    x = 65,667,306.70/10,930.56
  6. Step 6: Final answer
    x = 6,007.68

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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.