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Finding the Fourth Proportional to 8,178.84, 11,286.14 and 4,642.64

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Solution

The fourth proportional to 8,178.84, 11,286.14 and 4,642.64 is: 6,406.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.84 : 11,286.14 = 4,642.64 : x
  2. Step 2: Convert to fraction form
    8,178.84/11,286.14 = 4,642.64/x
  3. Step 3: Cross multiply
    8,178.84x = 11,286.14 × 4,642.64
  4. Step 4: Simplify right side
    8,178.84x = 52,397,485.01
  5. Step 5: Solve for x
    x = 52,397,485.01/8,178.84
  6. Step 6: Final answer
    x = 6,406.47

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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.