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Finding the Fourth Proportional to 10,777.29, 16,162.82 and 4,537.25

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Solution

The fourth proportional to 10,777.29, 16,162.82 and 4,537.25 is: 6,804.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.29 : 16,162.82 = 4,537.25 : x
  2. Step 2: Convert to fraction form
    10,777.29/16,162.82 = 4,537.25/x
  3. Step 3: Cross multiply
    10,777.29x = 16,162.82 × 4,537.25
  4. Step 4: Simplify right side
    10,777.29x = 73,334,755.05
  5. Step 5: Solve for x
    x = 73,334,755.05/10,777.29
  6. Step 6: Final answer
    x = 6,804.56

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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.