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Finding the Fourth Proportional to 7,796.38, 10,759.24 and 4,259.82

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Solution

The fourth proportional to 7,796.38, 10,759.24 and 4,259.82 is: 5,878.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.38 : 10,759.24 = 4,259.82 : x
  2. Step 2: Convert to fraction form
    7,796.38/10,759.24 = 4,259.82/x
  3. Step 3: Cross multiply
    7,796.38x = 10,759.24 × 4,259.82
  4. Step 4: Simplify right side
    7,796.38x = 45,832,425.74
  5. Step 5: Solve for x
    x = 45,832,425.74/7,796.38
  6. Step 6: Final answer
    x = 5,878.68

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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.