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Finding the Fourth Proportional to 8,178.80, 12,268.12 and 3,494.82

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Solution

The fourth proportional to 8,178.80, 12,268.12 and 3,494.82 is: 5,242.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.80 : 12,268.12 = 3,494.82 : x
  2. Step 2: Convert to fraction form
    8,178.80/12,268.12 = 3,494.82/x
  3. Step 3: Cross multiply
    8,178.80x = 12,268.12 × 3,494.82
  4. Step 4: Simplify right side
    8,178.80x = 42,874,871.14
  5. Step 5: Solve for x
    x = 42,874,871.14/8,178.80
  6. Step 6: Final answer
    x = 5,242.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.