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Finding the Fourth Proportional to 10,977.94, 15,149.53 and 5,942.26

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Solution

The fourth proportional to 10,977.94, 15,149.53 and 5,942.26 is: 8,200.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,977.94 : 15,149.53 = 5,942.26 : x
  2. Step 2: Convert to fraction form
    10,977.94/15,149.53 = 5,942.26/x
  3. Step 3: Cross multiply
    10,977.94x = 15,149.53 × 5,942.26
  4. Step 4: Simplify right side
    10,977.94x = 90,022,472.50
  5. Step 5: Solve for x
    x = 90,022,472.50/10,977.94
  6. Step 6: Final answer
    x = 8,200.30

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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.