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Finding the Fourth Proportional to 11,751.96, 16,211.16 and 7,272.86

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Solution

The fourth proportional to 11,751.96, 16,211.16 and 7,272.86 is: 10,032.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.96 : 16,211.16 = 7,272.86 : x
  2. Step 2: Convert to fraction form
    11,751.96/16,211.16 = 7,272.86/x
  3. Step 3: Cross multiply
    11,751.96x = 16,211.16 × 7,272.86
  4. Step 4: Simplify right side
    11,751.96x = 117,901,497.12
  5. Step 5: Solve for x
    x = 117,901,497.12/11,751.96
  6. Step 6: Final answer
    x = 10,032.50

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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.