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Finding the Fourth Proportional to 8,396.43, 11,586.83 and 4,619.60

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Solution

The fourth proportional to 8,396.43, 11,586.83 and 4,619.60 is: 6,374.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.43 : 11,586.83 = 4,619.60 : x
  2. Step 2: Convert to fraction form
    8,396.43/11,586.83 = 4,619.60/x
  3. Step 3: Cross multiply
    8,396.43x = 11,586.83 × 4,619.60
  4. Step 4: Simplify right side
    8,396.43x = 53,526,519.87
  5. Step 5: Solve for x
    x = 53,526,519.87/8,396.43
  6. Step 6: Final answer
    x = 6,374.92

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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.