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Finding the Fourth Proportional to 10,028.33, 13,834.75 and 6,047.24

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Solution

The fourth proportional to 10,028.33, 13,834.75 and 6,047.24 is: 8,342.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028.33 : 13,834.75 = 6,047.24 : x
  2. Step 2: Convert to fraction form
    10,028.33/13,834.75 = 6,047.24/x
  3. Step 3: Cross multiply
    10,028.33x = 13,834.75 × 6,047.24
  4. Step 4: Simplify right side
    10,028.33x = 83,661,969.30
  5. Step 5: Solve for x
    x = 83,661,969.30/10,028.33
  6. Step 6: Final answer
    x = 8,342.56

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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.