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Finding the Fourth Proportional to 8,394.56, 12,586.96 and 3,458.64

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Solution

The fourth proportional to 8,394.56, 12,586.96 and 3,458.64 is: 5,185.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394.56 : 12,586.96 = 3,458.64 : x
  2. Step 2: Convert to fraction form
    8,394.56/12,586.96 = 3,458.64/x
  3. Step 3: Cross multiply
    8,394.56x = 12,586.96 × 3,458.64
  4. Step 4: Simplify right side
    8,394.56x = 43,533,763.33
  5. Step 5: Solve for x
    x = 43,533,763.33/8,394.56
  6. Step 6: Final answer
    x = 5,185.95

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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.