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Finding the Fourth Proportional to 10,399.05, 14,350.73 and 5,683.41

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Solution

The fourth proportional to 10,399.05, 14,350.73 and 5,683.41 is: 7,843.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,399.05 : 14,350.73 = 5,683.41 : x
  2. Step 2: Convert to fraction form
    10,399.05/14,350.73 = 5,683.41/x
  3. Step 3: Cross multiply
    10,399.05x = 14,350.73 × 5,683.41
  4. Step 4: Simplify right side
    10,399.05x = 81,561,053.97
  5. Step 5: Solve for x
    x = 81,561,053.97/10,399.05
  6. Step 6: Final answer
    x = 7,843.13

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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.