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Finding the Fourth Proportional to 10,182.62, 15,273.93 and 5,797.82

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Solution

The fourth proportional to 10,182.62, 15,273.93 and 5,797.82 is: 8,696.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,182.62 : 15,273.93 = 5,797.82 : x
  2. Step 2: Convert to fraction form
    10,182.62/15,273.93 = 5,797.82/x
  3. Step 3: Cross multiply
    10,182.62x = 15,273.93 × 5,797.82
  4. Step 4: Simplify right side
    10,182.62x = 88,555,496.83
  5. Step 5: Solve for x
    x = 88,555,496.83/10,182.62
  6. Step 6: Final answer
    x = 8,696.73

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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.