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Finding the Fourth Proportional to 7,909.97, 10,912.46 and 4,920.61

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Solution

The fourth proportional to 7,909.97, 10,912.46 and 4,920.61 is: 6,788.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,909.97 : 10,912.46 = 4,920.61 : x
  2. Step 2: Convert to fraction form
    7,909.97/10,912.46 = 4,920.61/x
  3. Step 3: Cross multiply
    7,909.97x = 10,912.46 × 4,920.61
  4. Step 4: Simplify right side
    7,909.97x = 53,695,959.80
  5. Step 5: Solve for x
    x = 53,695,959.80/7,909.97
  6. Step 6: Final answer
    x = 6,788.39

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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.