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Finding the Fourth Proportional to 10,583.67, 15,874.29 and 2,793.09

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Solution

The fourth proportional to 10,583.67, 15,874.29 and 2,793.09 is: 4,189.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,583.67 : 15,874.29 = 2,793.09 : x
  2. Step 2: Convert to fraction form
    10,583.67/15,874.29 = 2,793.09/x
  3. Step 3: Cross multiply
    10,583.67x = 15,874.29 × 2,793.09
  4. Step 4: Simplify right side
    10,583.67x = 44,338,320.66
  5. Step 5: Solve for x
    x = 44,338,320.66/10,583.67
  6. Step 6: Final answer
    x = 4,189.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.