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Finding the Fourth Proportional to 10,025.97, 13,839.48 and 5,834.22

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Solution

The fourth proportional to 10,025.97, 13,839.48 and 5,834.22 is: 8,053.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,025.97 : 13,839.48 = 5,834.22 : x
  2. Step 2: Convert to fraction form
    10,025.97/13,839.48 = 5,834.22/x
  3. Step 3: Cross multiply
    10,025.97x = 13,839.48 × 5,834.22
  4. Step 4: Simplify right side
    10,025.97x = 80,742,571.01
  5. Step 5: Solve for x
    x = 80,742,571.01/10,025.97
  6. Step 6: Final answer
    x = 8,053.34

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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.