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Finding the Fourth Proportional to 10,033.06, 15,049.51 and 7,843.63

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Solution

The fourth proportional to 10,033.06, 15,049.51 and 7,843.63 is: 11,765.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.06 : 15,049.51 = 7,843.63 : x
  2. Step 2: Convert to fraction form
    10,033.06/15,049.51 = 7,843.63/x
  3. Step 3: Cross multiply
    10,033.06x = 15,049.51 × 7,843.63
  4. Step 4: Simplify right side
    10,033.06x = 118,042,788.12
  5. Step 5: Solve for x
    x = 118,042,788.12/10,033.06
  6. Step 6: Final answer
    x = 11,765.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.