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Finding the Fourth Proportional to 8,180.75, 11,290.65 and 4,822.49

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Solution

The fourth proportional to 8,180.75, 11,290.65 and 4,822.49 is: 6,655.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.75 : 11,290.65 = 4,822.49 : x
  2. Step 2: Convert to fraction form
    8,180.75/11,290.65 = 4,822.49/x
  3. Step 3: Cross multiply
    8,180.75x = 11,290.65 × 4,822.49
  4. Step 4: Simplify right side
    8,180.75x = 54,449,046.72
  5. Step 5: Solve for x
    x = 54,449,046.72/8,180.75
  6. Step 6: Final answer
    x = 6,655.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.