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Finding the Fourth Proportional to 10,472.87, 14,453.57 and 5,995.73

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Solution

The fourth proportional to 10,472.87, 14,453.57 and 5,995.73 is: 8,274.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,472.87 : 14,453.57 = 5,995.73 : x
  2. Step 2: Convert to fraction form
    10,472.87/14,453.57 = 5,995.73/x
  3. Step 3: Cross multiply
    10,472.87x = 14,453.57 × 5,995.73
  4. Step 4: Simplify right side
    10,472.87x = 86,659,703.26
  5. Step 5: Solve for x
    x = 86,659,703.26/10,472.87
  6. Step 6: Final answer
    x = 8,274.69

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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.