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Finding the Fourth Proportional to 8,264.97, 12,382.44 and 7,379.25

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Solution

The fourth proportional to 8,264.97, 12,382.44 and 7,379.25 is: 11,055.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.97 : 12,382.44 = 7,379.25 : x
  2. Step 2: Convert to fraction form
    8,264.97/12,382.44 = 7,379.25/x
  3. Step 3: Cross multiply
    8,264.97x = 12,382.44 × 7,379.25
  4. Step 4: Simplify right side
    8,264.97x = 91,373,120.37
  5. Step 5: Solve for x
    x = 91,373,120.37/8,264.97
  6. Step 6: Final answer
    x = 11,055.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.