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Finding the Fourth Proportional to 8,178.84, 12,268.26 and 3,561.84

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Solution

The fourth proportional to 8,178.84, 12,268.26 and 3,561.84 is: 5,342.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.84 : 12,268.26 = 3,561.84 : x
  2. Step 2: Convert to fraction form
    8,178.84/12,268.26 = 3,561.84/x
  3. Step 3: Cross multiply
    8,178.84x = 12,268.26 × 3,561.84
  4. Step 4: Simplify right side
    8,178.84x = 43,697,579.20
  5. Step 5: Solve for x
    x = 43,697,579.20/8,178.84
  6. Step 6: Final answer
    x = 5,342.76

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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.