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Finding the Fourth Proportional to 7,013.78, 10,520.46 and 2,083.41

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Solution

The fourth proportional to 7,013.78, 10,520.46 and 2,083.41 is: 3,125.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.78 : 10,520.46 = 2,083.41 : x
  2. Step 2: Convert to fraction form
    7,013.78/10,520.46 = 2,083.41/x
  3. Step 3: Cross multiply
    7,013.78x = 10,520.46 × 2,083.41
  4. Step 4: Simplify right side
    7,013.78x = 21,918,431.57
  5. Step 5: Solve for x
    x = 21,918,431.57/7,013.78
  6. Step 6: Final answer
    x = 3,125.05

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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.