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Finding the Fourth Proportional to 8,274.81, 12,417.69 and 3,892.61

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Solution

The fourth proportional to 8,274.81, 12,417.69 and 3,892.61 is: 5,841.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.81 : 12,417.69 = 3,892.61 : x
  2. Step 2: Convert to fraction form
    8,274.81/12,417.69 = 3,892.61/x
  3. Step 3: Cross multiply
    8,274.81x = 12,417.69 × 3,892.61
  4. Step 4: Simplify right side
    8,274.81x = 48,337,260.85
  5. Step 5: Solve for x
    x = 48,337,260.85/8,274.81
  6. Step 6: Final answer
    x = 5,841.49

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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.