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Finding the Fourth Proportional to 8,179.84, 12,268.64 and 3,562.24

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Solution

The fourth proportional to 8,179.84, 12,268.64 and 3,562.24 is: 5,342.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179.84 : 12,268.64 = 3,562.24 : x
  2. Step 2: Convert to fraction form
    8,179.84/12,268.64 = 3,562.24/x
  3. Step 3: Cross multiply
    8,179.84x = 12,268.64 × 3,562.24
  4. Step 4: Simplify right side
    8,179.84x = 43,703,840.15
  5. Step 5: Solve for x
    x = 43,703,840.15/8,179.84
  6. Step 6: Final answer
    x = 5,342.87

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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.