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Finding the Fourth Proportional to 11,741.16, 16,205.86 and 7,262.31

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Solution

The fourth proportional to 11,741.16, 16,205.86 and 7,262.31 is: 10,023.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,741.16 : 16,205.86 = 7,262.31 : x
  2. Step 2: Convert to fraction form
    11,741.16/16,205.86 = 7,262.31/x
  3. Step 3: Cross multiply
    11,741.16x = 16,205.86 × 7,262.31
  4. Step 4: Simplify right side
    11,741.16x = 117,691,978.25
  5. Step 5: Solve for x
    x = 117,691,978.25/11,741.16
  6. Step 6: Final answer
    x = 10,023.88

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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.