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Finding the Fourth Proportional to 8,548.25, 11,796.59 and 4,822.97

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Solution

The fourth proportional to 8,548.25, 11,796.59 and 4,822.97 is: 6,655.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,548.25 : 11,796.59 = 4,822.97 : x
  2. Step 2: Convert to fraction form
    8,548.25/11,796.59 = 4,822.97/x
  3. Step 3: Cross multiply
    8,548.25x = 11,796.59 × 4,822.97
  4. Step 4: Simplify right side
    8,548.25x = 56,894,575.56
  5. Step 5: Solve for x
    x = 56,894,575.56/8,548.25
  6. Step 6: Final answer
    x = 6,655.70

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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.