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Finding the Fourth Proportional to 8,178.64, 11,286.34 and 4,776.24

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Solution

The fourth proportional to 8,178.64, 11,286.34 and 4,776.24 is: 6,591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.64 : 11,286.34 = 4,776.24 : x
  2. Step 2: Convert to fraction form
    8,178.64/11,286.34 = 4,776.24/x
  3. Step 3: Cross multiply
    8,178.64x = 11,286.34 × 4,776.24
  4. Step 4: Simplify right side
    8,178.64x = 53,906,268.56
  5. Step 5: Solve for x
    x = 53,906,268.56/8,178.64
  6. Step 6: Final answer
    x = 6,591.10

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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.