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Finding the Fourth Proportional to 8,611.14, 11,880 and 5,073.06

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Solution

The fourth proportional to 8,611.14, 11,880 and 5,073.06 is: 6,998.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,611.14 : 11,880 = 5,073.06 : x
  2. Step 2: Convert to fraction form
    8,611.14/11,880 = 5,073.06/x
  3. Step 3: Cross multiply
    8,611.14x = 11,880 × 5,073.06
  4. Step 4: Simplify right side
    8,611.14x = 60,267,952.80
  5. Step 5: Solve for x
    x = 60,267,952.80/8,611.14
  6. Step 6: Final answer
    x = 6,998.84

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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.