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Finding the Fourth Proportional to 10,033.76, 15,042.89 and 4,029.23

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Solution

The fourth proportional to 10,033.76, 15,042.89 and 4,029.23 is: 6,040.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.76 : 15,042.89 = 4,029.23 : x
  2. Step 2: Convert to fraction form
    10,033.76/15,042.89 = 4,029.23/x
  3. Step 3: Cross multiply
    10,033.76x = 15,042.89 × 4,029.23
  4. Step 4: Simplify right side
    10,033.76x = 60,611,168.31
  5. Step 5: Solve for x
    x = 60,611,168.31/10,033.76
  6. Step 6: Final answer
    x = 6,040.73

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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.