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Finding the Fourth Proportional to 7,703.11, 10,632.03 and 6,441.97

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Solution

The fourth proportional to 7,703.11, 10,632.03 and 6,441.97 is: 8,891.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,703.11 : 10,632.03 = 6,441.97 : x
  2. Step 2: Convert to fraction form
    7,703.11/10,632.03 = 6,441.97/x
  3. Step 3: Cross multiply
    7,703.11x = 10,632.03 × 6,441.97
  4. Step 4: Simplify right side
    7,703.11x = 68,491,218.30
  5. Step 5: Solve for x
    x = 68,491,218.30/7,703.11
  6. Step 6: Final answer
    x = 8,891.38

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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.