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Finding the Fourth Proportional to 8,178.65, 11,286.89 and 4,642.19

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Solution

The fourth proportional to 8,178.65, 11,286.89 and 4,642.19 is: 6,406.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.65 : 11,286.89 = 4,642.19 : x
  2. Step 2: Convert to fraction form
    8,178.65/11,286.89 = 4,642.19/x
  3. Step 3: Cross multiply
    8,178.65x = 11,286.89 × 4,642.19
  4. Step 4: Simplify right side
    8,178.65x = 52,395,927.71
  5. Step 5: Solve for x
    x = 52,395,927.71/8,178.65
  6. Step 6: Final answer
    x = 6,406.43

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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.