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Finding the Fourth Proportional to 7,939.36, 10,952.40 and 6,448.96

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Solution

The fourth proportional to 7,939.36, 10,952.40 and 6,448.96 is: 8,896.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,939.36 : 10,952.40 = 6,448.96 : x
  2. Step 2: Convert to fraction form
    7,939.36/10,952.40 = 6,448.96/x
  3. Step 3: Cross multiply
    7,939.36x = 10,952.40 × 6,448.96
  4. Step 4: Simplify right side
    7,939.36x = 70,631,589.50
  5. Step 5: Solve for x
    x = 70,631,589.50/7,939.36
  6. Step 6: Final answer
    x = 8,896.38

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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.