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Finding the Fourth Proportional to 8,611.42, 11,885.40 and 5,629.82

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Solution

The fourth proportional to 8,611.42, 11,885.40 and 5,629.82 is: 7,770.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,611.42 : 11,885.40 = 5,629.82 : x
  2. Step 2: Convert to fraction form
    8,611.42/11,885.40 = 5,629.82/x
  3. Step 3: Cross multiply
    8,611.42x = 11,885.40 × 5,629.82
  4. Step 4: Simplify right side
    8,611.42x = 66,912,662.63
  5. Step 5: Solve for x
    x = 66,912,662.63/8,611.42
  6. Step 6: Final answer
    x = 7,770.22

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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.