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Finding the Fourth Proportional to 11,971.13, 16,524.27 and 7,255.41

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Solution

The fourth proportional to 11,971.13, 16,524.27 and 7,255.41 is: 10,014.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.13 : 16,524.27 = 7,255.41 : x
  2. Step 2: Convert to fraction form
    11,971.13/16,524.27 = 7,255.41/x
  3. Step 3: Cross multiply
    11,971.13x = 16,524.27 × 7,255.41
  4. Step 4: Simplify right side
    11,971.13x = 119,890,291.83
  5. Step 5: Solve for x
    x = 119,890,291.83/11,971.13
  6. Step 6: Final answer
    x = 10,014.96

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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.