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Finding the Fourth Proportional to 8,394.93, 11,584.76 and 4,618.09

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Solution

The fourth proportional to 8,394.93, 11,584.76 and 4,618.09 is: 6,372.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394.93 : 11,584.76 = 4,618.09 : x
  2. Step 2: Convert to fraction form
    8,394.93/11,584.76 = 4,618.09/x
  3. Step 3: Cross multiply
    8,394.93x = 11,584.76 × 4,618.09
  4. Step 4: Simplify right side
    8,394.93x = 53,499,464.31
  5. Step 5: Solve for x
    x = 53,499,464.31/8,394.93
  6. Step 6: Final answer
    x = 6,372.83

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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.