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Finding the Fourth Proportional to 8,411.22, 11,589.12 and 5,611.86

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Solution

The fourth proportional to 8,411.22, 11,589.12 and 5,611.86 is: 7,732.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,411.22 : 11,589.12 = 5,611.86 : x
  2. Step 2: Convert to fraction form
    8,411.22/11,589.12 = 5,611.86/x
  3. Step 3: Cross multiply
    8,411.22x = 11,589.12 × 5,611.86
  4. Step 4: Simplify right side
    8,411.22x = 65,036,518.96
  5. Step 5: Solve for x
    x = 65,036,518.96/8,411.22
  6. Step 6: Final answer
    x = 7,732.11

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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.