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Finding the Fourth Proportional to 10,343.87, 14,274.46 and 5,628.15

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Solution

The fourth proportional to 10,343.87, 14,274.46 and 5,628.15 is: 7,766.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.87 : 14,274.46 = 5,628.15 : x
  2. Step 2: Convert to fraction form
    10,343.87/14,274.46 = 5,628.15/x
  3. Step 3: Cross multiply
    10,343.87x = 14,274.46 × 5,628.15
  4. Step 4: Simplify right side
    10,343.87x = 80,338,787.98
  5. Step 5: Solve for x
    x = 80,338,787.98/10,343.87
  6. Step 6: Final answer
    x = 7,766.81

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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.