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Finding the Fourth Proportional to 7,326.97, 10,105.64 and 6,306.66

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Solution

The fourth proportional to 7,326.97, 10,105.64 and 6,306.66 is: 8,698.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,326.97 : 10,105.64 = 6,306.66 : x
  2. Step 2: Convert to fraction form
    7,326.97/10,105.64 = 6,306.66/x
  3. Step 3: Cross multiply
    7,326.97x = 10,105.64 × 6,306.66
  4. Step 4: Simplify right side
    7,326.97x = 63,732,769.27
  5. Step 5: Solve for x
    x = 63,732,769.27/7,326.97
  6. Step 6: Final answer
    x = 8,698.38

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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.