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Finding the Fourth Proportional to 11,611.56, 17,411.94 and 4,215.72

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Solution

The fourth proportional to 11,611.56, 17,411.94 and 4,215.72 is: 6,321.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,611.56 : 17,411.94 = 4,215.72 : x
  2. Step 2: Convert to fraction form
    11,611.56/17,411.94 = 4,215.72/x
  3. Step 3: Cross multiply
    11,611.56x = 17,411.94 × 4,215.72
  4. Step 4: Simplify right side
    11,611.56x = 73,403,863.70
  5. Step 5: Solve for x
    x = 73,403,863.70/11,611.56
  6. Step 6: Final answer
    x = 6,321.62

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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.