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Finding the Fourth Proportional to 8,178.55, 11,284.86 and 4,822.42

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Solution

The fourth proportional to 8,178.55, 11,284.86 and 4,822.42 is: 6,654.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.55 : 11,284.86 = 4,822.42 : x
  2. Step 2: Convert to fraction form
    8,178.55/11,284.86 = 4,822.42/x
  3. Step 3: Cross multiply
    8,178.55x = 11,284.86 × 4,822.42
  4. Step 4: Simplify right side
    8,178.55x = 54,420,334.56
  5. Step 5: Solve for x
    x = 54,420,334.56/8,178.55
  6. Step 6: Final answer
    x = 6,654.03

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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.