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Finding the Fourth Proportional to 8,092.40, 12,140.01 and 3,348.54

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Solution

The fourth proportional to 8,092.40, 12,140.01 and 3,348.54 is: 5,023.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,092.40 : 12,140.01 = 3,348.54 : x
  2. Step 2: Convert to fraction form
    8,092.40/12,140.01 = 3,348.54/x
  3. Step 3: Cross multiply
    8,092.40x = 12,140.01 × 3,348.54
  4. Step 4: Simplify right side
    8,092.40x = 40,651,309.09
  5. Step 5: Solve for x
    x = 40,651,309.09/8,092.40
  6. Step 6: Final answer
    x = 5,023.40

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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.