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Finding the Fourth Proportional to 11,611.96, 17,406.02 and 4,589.12

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Solution

The fourth proportional to 11,611.96, 17,406.02 and 4,589.12 is: 6,878.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.96 : 17,406.02 = 4,589.12 : x
  2. Step 2: Convert to fraction form
    11,611.96/17,406.02 = 4,589.12/x
  3. Step 3: Cross multiply
    11,611.96x = 17,406.02 × 4,589.12
  4. Step 4: Simplify right side
    11,611.96x = 79,878,369.49
  5. Step 5: Solve for x
    x = 79,878,369.49/11,611.96
  6. Step 6: Final answer
    x = 6,878.98

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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.