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Finding the Fourth Proportional to 8,524.23, 11,760.25 and 8,511.09

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Solution

The fourth proportional to 8,524.23, 11,760.25 and 8,511.09 is: 11,742.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,524.23 : 11,760.25 = 8,511.09 : x
  2. Step 2: Convert to fraction form
    8,524.23/11,760.25 = 8,511.09/x
  3. Step 3: Cross multiply
    8,524.23x = 11,760.25 × 8,511.09
  4. Step 4: Simplify right side
    8,524.23x = 100,092,512.71
  5. Step 5: Solve for x
    x = 100,092,512.71/8,524.23
  6. Step 6: Final answer
    x = 11,742.12

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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.