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Finding the Fourth Proportional to 7,920.98, 10,930.79 and 4,335.85

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Solution

The fourth proportional to 7,920.98, 10,930.79 and 4,335.85 is: 5,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,920.98 : 10,930.79 = 4,335.85 : x
  2. Step 2: Convert to fraction form
    7,920.98/10,930.79 = 4,335.85/x
  3. Step 3: Cross multiply
    7,920.98x = 10,930.79 × 4,335.85
  4. Step 4: Simplify right side
    7,920.98x = 47,394,221.41
  5. Step 5: Solve for x
    x = 47,394,221.41/7,920.98
  6. Step 6: Final answer
    x = 5,983.38

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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.