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Finding the Fourth Proportional to 10,920.57, 16,383.50 and 3,129.39

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Solution

The fourth proportional to 10,920.57, 16,383.50 and 3,129.39 is: 4,694.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.57 : 16,383.50 = 3,129.39 : x
  2. Step 2: Convert to fraction form
    10,920.57/16,383.50 = 3,129.39/x
  3. Step 3: Cross multiply
    10,920.57x = 16,383.50 × 3,129.39
  4. Step 4: Simplify right side
    10,920.57x = 51,270,345.42
  5. Step 5: Solve for x
    x = 51,270,345.42/10,920.57
  6. Step 6: Final answer
    x = 4,694.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.