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Finding the Fourth Proportional to 8,179.55, 11,286.78 and 4,642.08

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Solution

The fourth proportional to 8,179.55, 11,286.78 and 4,642.08 is: 6,405.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.55 : 11,286.78 = 4,642.08 : x
  2. Step 2: Convert to fraction form
    8,179.55/11,286.78 = 4,642.08/x
  3. Step 3: Cross multiply
    8,179.55x = 11,286.78 × 4,642.08
  4. Step 4: Simplify right side
    8,179.55x = 52,394,075.97
  5. Step 5: Solve for x
    x = 52,394,075.97/8,179.55
  6. Step 6: Final answer
    x = 6,405.50

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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.