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Finding the Fourth Proportional to 7,920.38, 10,929.98 and 4,383.59

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Solution

The fourth proportional to 7,920.38, 10,929.98 and 4,383.59 is: 6,049.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.38 : 10,929.98 = 4,383.59 : x
  2. Step 2: Convert to fraction form
    7,920.38/10,929.98 = 4,383.59/x
  3. Step 3: Cross multiply
    7,920.38x = 10,929.98 × 4,383.59
  4. Step 4: Simplify right side
    7,920.38x = 47,912,551.03
  5. Step 5: Solve for x
    x = 47,912,551.03/7,920.38
  6. Step 6: Final answer
    x = 6,049.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.