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Finding the Fourth Proportional to 10,930.96, 16,392.79 and 3,533.43

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Solution

The fourth proportional to 10,930.96, 16,392.79 and 3,533.43 is: 5,298.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.96 : 16,392.79 = 3,533.43 : x
  2. Step 2: Convert to fraction form
    10,930.96/16,392.79 = 3,533.43/x
  3. Step 3: Cross multiply
    10,930.96x = 16,392.79 × 3,533.43
  4. Step 4: Simplify right side
    10,930.96x = 57,922,775.97
  5. Step 5: Solve for x
    x = 57,922,775.97/10,930.96
  6. Step 6: Final answer
    x = 5,298.97

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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.