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Finding the Fourth Proportional to 8,042.92, 12,062.49 and 4,534.45

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Solution

The fourth proportional to 8,042.92, 12,062.49 and 4,534.45 is: 6,800.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,042.92 : 12,062.49 = 4,534.45 : x
  2. Step 2: Convert to fraction form
    8,042.92/12,062.49 = 4,534.45/x
  3. Step 3: Cross multiply
    8,042.92x = 12,062.49 × 4,534.45
  4. Step 4: Simplify right side
    8,042.92x = 54,696,757.78
  5. Step 5: Solve for x
    x = 54,696,757.78/8,042.92
  6. Step 6: Final answer
    x = 6,800.61

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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.