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Finding the Fourth Proportional to 10,366.25, 14,305.64 and 5,650.54

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Solution

The fourth proportional to 10,366.25, 14,305.64 and 5,650.54 is: 7,797.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.25 : 14,305.64 = 5,650.54 : x
  2. Step 2: Convert to fraction form
    10,366.25/14,305.64 = 5,650.54/x
  3. Step 3: Cross multiply
    10,366.25x = 14,305.64 × 5,650.54
  4. Step 4: Simplify right side
    10,366.25x = 80,834,591.05
  5. Step 5: Solve for x
    x = 80,834,591.05/10,366.25
  6. Step 6: Final answer
    x = 7,797.86

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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.