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Finding the Fourth Proportional to 10,532.26, 15,798.19 and 3,141.73

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Solution

The fourth proportional to 10,532.26, 15,798.19 and 3,141.73 is: 4,712.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,532.26 : 15,798.19 = 3,141.73 : x
  2. Step 2: Convert to fraction form
    10,532.26/15,798.19 = 3,141.73/x
  3. Step 3: Cross multiply
    10,532.26x = 15,798.19 × 3,141.73
  4. Step 4: Simplify right side
    10,532.26x = 49,633,647.47
  5. Step 5: Solve for x
    x = 49,633,647.47/10,532.26
  6. Step 6: Final answer
    x = 4,712.54

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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.