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Finding the Fourth Proportional to 7,941.97, 10,961.34 and 4,584.32

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Solution

The fourth proportional to 7,941.97, 10,961.34 and 4,584.32 is: 6,327.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,941.97 : 10,961.34 = 4,584.32 : x
  2. Step 2: Convert to fraction form
    7,941.97/10,961.34 = 4,584.32/x
  3. Step 3: Cross multiply
    7,941.97x = 10,961.34 × 4,584.32
  4. Step 4: Simplify right side
    7,941.97x = 50,250,235.38
  5. Step 5: Solve for x
    x = 50,250,235.38/7,941.97
  6. Step 6: Final answer
    x = 6,327.18

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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.