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Finding the Fourth Proportional to 10,029.38, 15,044.10 and 3,455.48

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Solution

The fourth proportional to 10,029.38, 15,044.10 and 3,455.48 is: 5,183.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,029.38 : 15,044.10 = 3,455.48 : x
  2. Step 2: Convert to fraction form
    10,029.38/15,044.10 = 3,455.48/x
  3. Step 3: Cross multiply
    10,029.38x = 15,044.10 × 3,455.48
  4. Step 4: Simplify right side
    10,029.38x = 51,984,586.67
  5. Step 5: Solve for x
    x = 51,984,586.67/10,029.38
  6. Step 6: Final answer
    x = 5,183.23

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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.