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Finding the Fourth Proportional to 8,611.62, 12,892.33 and 6,400.26

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Solution

The fourth proportional to 8,611.62, 12,892.33 and 6,400.26 is: 9,581.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,611.62 : 12,892.33 = 6,400.26 : x
  2. Step 2: Convert to fraction form
    8,611.62/12,892.33 = 6,400.26/x
  3. Step 3: Cross multiply
    8,611.62x = 12,892.33 × 6,400.26
  4. Step 4: Simplify right side
    8,611.62x = 82,514,272.01
  5. Step 5: Solve for x
    x = 82,514,272.01/8,611.62
  6. Step 6: Final answer
    x = 9,581.74

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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.