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Finding the Fourth Proportional to 10,028.34, 13,838.14 and 5,835.78

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Solution

The fourth proportional to 10,028.34, 13,838.14 and 5,835.78 is: 8,052.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028.34 : 13,838.14 = 5,835.78 : x
  2. Step 2: Convert to fraction form
    10,028.34/13,838.14 = 5,835.78/x
  3. Step 3: Cross multiply
    10,028.34x = 13,838.14 × 5,835.78
  4. Step 4: Simplify right side
    10,028.34x = 80,756,340.65
  5. Step 5: Solve for x
    x = 80,756,340.65/10,028.34
  6. Step 6: Final answer
    x = 8,052.81

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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.