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Finding the Fourth Proportional to 10,343.49, 14,273.73 and 5,627.81

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Solution

The fourth proportional to 10,343.49, 14,273.73 and 5,627.81 is: 7,766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.49 : 14,273.73 = 5,627.81 : x
  2. Step 2: Convert to fraction form
    10,343.49/14,273.73 = 5,627.81/x
  3. Step 3: Cross multiply
    10,343.49x = 14,273.73 × 5,627.81
  4. Step 4: Simplify right side
    10,343.49x = 80,329,769.06
  5. Step 5: Solve for x
    x = 80,329,769.06/10,343.49
  6. Step 6: Final answer
    x = 7,766.22

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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.