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Finding the Fourth Proportional to 10,020.78, 15,040.19 and 5,344.70

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Solution

The fourth proportional to 10,020.78, 15,040.19 and 5,344.70 is: 8,021.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020.78 : 15,040.19 = 5,344.70 : x
  2. Step 2: Convert to fraction form
    10,020.78/15,040.19 = 5,344.70/x
  3. Step 3: Cross multiply
    10,020.78x = 15,040.19 × 5,344.70
  4. Step 4: Simplify right side
    10,020.78x = 80,385,241.65
  5. Step 5: Solve for x
    x = 80,385,241.65/10,020.78
  6. Step 6: Final answer
    x = 8,021.85

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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.